Two searchlights on the shore of a lake are located 3020 yd apart. A ship in distress is spotted from each searchlight. The beam from the first searchlight makes an angle of 38 degrees with the baseline. The beam from the second light makes an angle of 57 degrees with the baseline. Find the ship's distance from each searchlight.

Answers

Answer 1

Answer:

x₁   =   1866.2 yd   distance between ship and searchlight in C

x₂  = 2542.5 yd .  distance between ship and searchlight in B

Step-by-step explanation:

The ship (point A) and the two searchlights points  ( B  and C) shape a triangle.

We have  α  =  38°  ( opposite side x₁ or distance between ship and point C  and  β =  57 ° ( opposite side x₂ or distance between ship and point B     then γ =  180 -  ( α  +  β )

γ  =  85°

Applying sin´slaw

x₁ / sin 38   =   x₂/ sin57  =  3020 / sin 85

from sin table we find:

sin 38  =  0.6156

sin 57  =  0.8387

sin 85  =  0.9962

Then

x₁  /  0.6156  =  3020 / 0.9962

x₁  ( the opposite side to angle 38° ) /  0.6156 =  3031.5

x₁  =  3031.5*0.6156

x₁   =   1866.2 yd

x₂  =  3031.5 * 0.8387

x₂  =  2542.5 yd


Related Questions

At a lunch stand, each hamburger has 50 more calories than each order of fries. If 2 hamburgers and 3 orders of fries have a total of 1700 calories, how many calories does 3 orders of fries have

Answers

Answer: 960 calories

Step-by-step explanation:

Given

Each hamburger has 50 more calories than each order of fries

Suppose each order of fries has [tex]x[/tex] calories

so, hamburger has [tex]x+50[/tex] calories

There are total of 1700 calories available. Thus, we can write

[tex]\Rightarrow 2(x+50)+3x=1700\\\Rightarrow 2x+3x=1700-100\\\Rightarrow 5x=1600\\\Rightarrow x=320[/tex]

So, each order of fries has [tex]320[/tex] calories

For 3 orders, it is [tex]320\times 3=960[/tex] calories

3 divided by 1/4 and 4 divided by 3/4 please help

Answers

Answer:

12

16/3

Step-by-step explanation:

When dividing by a fraction, you can multiply by its reciprocal.

This can be remembered easily using the mnemonic "keep, change, flip" where you keep the first fraction (in this case, 3/1), change the sign of the operator (from division to multiplication) and flip the second fraction (in this case 1/4 into 4/1). Thus 3 / 1/4 = 3/1 x 4/1 = 12/1 = 12

Answer:

See explanation below

Step-by-step explanation:

3 divided by 1/4 equals 12

Flip 1/4 to get 4, then multiply that by 3 to get 12.

4 divided by 3/4 = 16/3

Flip 3/4 to get 4/3, then multiply that by 4 to get 16/3

15 · 20 = 12y ??
180° = 74° + C ??

Answers

Answer:

answer is 90 degree I think so

Help plz..And No links!! I repeat No links!!

Answers

Answer:

4m

Step-by-step explanation:

shapes are similar.

purple shape is double the red and 2x2 is four

so the answer is 4m

Answer:

a = 4m

Step-by-step explanation:

1m side is 2m, that 1 x 2

Therefore 2m side will 2 x 2 = 4m

what is the value of (-35) • (-5/7)

Answers

Answer:

56

Step-by-step explanation:

25

We'll start by getting rid of the negatives, because a negative times a negative equals a positive.

Multiply the whole number by the numerator first, then divide by the denominator.

35 x 5 = 175

175/7 = 25

DUE VERY SOON. PLEASE ANSWER FAST

Explain how decisions are a combination of theoretical, experimental, and subjective probability

Answers

Answer:

They help know which decision is best and help you realize. It help expirement as well. For example you are trying to see what happens after making a decision. Decisions are also well known to making good and correct choices.

Vector u has a magnitude of 4 with a direction of 50°. Vector v has a magnitude of 6 with
a direction of 25°. Which vector components represent the sum of u + v?

Answers

Answer: <8.01, 5.60>.

Step-by-step explanation:

Vector:

[tex]v= (r\cos\theta,r\sin\theta)[/tex]

, where r = magnitude and [tex]\theta[/tex] = angle .

As per given,

[tex]u=(4\cos 50^{\circ}, 4\sin 50^{\circ})\\\\\approx(4(0.64),4(0.77))\\\\=(2.56, 3.08)[/tex]

[tex]v=(6\cos 25^{\circ}, 6\sin 25^{\circ})\\\\\approx(6(0.91),6(0.42))\\\\=(5.46, 2.52)[/tex]

Consider

[tex]u+v=(2.56,3.08)+(5.46,2.52)\\\\=(2.56+5.46,3.08+2.52)\\\\=(8.02,\ 5.60)[/tex]

Hence, the correct option is <8.01, 5.60>.

There are 2 quarters, 1 nickel, and 2 dimes in a pocket.
What is the probability of choosing a coin, not returning it to the pocket, and then choosing another of greater value?
A ^3 10
B ^6 25
C ^4 10
D ^8 25

Answers

Answer:

C

Step-by-step explanation:

(6x2 -5x + 10) - (2x2 -x +13)

Answers

Answer:

-4x + 5 ?

sorry if wrong

Describe the transformation of f(x) to g(x).
A. f(x) is shifted down units to g(x).
B. f(x) is shifted up units to g(x).
C. (x) is shifted up 2 units to g(x).
D. f(x) is shifted down 2 units to g(x).

Answers

Answer:

D

Step-by-step explanation:

me pueden ayudar a contestarlo!!
por favor!!​

Answers

Answer:

english!? sorry

Step-by-step explanation:

What type of conic section is represented by the parametric equations below? X=3cos(t)-1 y=3sin(t)+4

Answers

Answer:

Circle

Step-by-step explanation:

Examples of conic sections are the circle, the ellipse, the parabola and the hyperbola. Parametric equations are used to express the x and y variables in terms of a less complicated manner using a third variable (t or θ).

The parametric equation for a circle with an equation [tex](x-h)^2+(y-k)^2=r^2[/tex] is given by:

[tex]x=rcos(t)+h, y=rsin(t)+k[/tex]

where r is the radius of the circle and (h, k) is the center of the circle.

A conic section with a parametric equations X=3cos(t)-1, y=3sin(t)+4 is a circle with center at (-1, 4) and radius of 3. The equation of the circle is:

(x + 1)² + (y - 4)² = 3²

Solve for the given variable.
88°+46°=6c + 4

Answers

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex]88 + 46 = 6c + 4 \\ 134 = 6c + 4 \\ 134 - 4 = 6c \\ 130 = 6c \\ \frac{130}{6} = c \\ 21.66 = c[/tex]

⎆ The value of c = 21.66.

# ꧁❣ RainbowSalt2²2² ࿐

find x please help me this is due soon and I don’t know what to do

Answers

Answer:

116

Step-by-step explanation:

a line is 180 degrees so subtract 64 and you get 116, that is your angle

Given: these two lines are parrallel cut by a transversal, 4 is 64 degrees

because 4 is given we know 6 is also 64 becasue they are alternative interior angles

all straight lines measure to 180 degrees so 3 and 5 become 116 because 180-64=116 (we also know these lines are parallel becasue 4 and 5 are supplementary, they add up to 180 as well.)

becasue 5 is 116 8 needs to be 64 and becasue 8 is 64 to equal 180 7 needs to be 116 (again, they need to add up to 180 becasue they are a straight line)

What's the slope for (1,-2) & (4,4)

Answers

Answer:

2

Step-by-step explanation:

When give two points, we can use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 4- -2)/(4-1)

    = ( 4+2)/(4-1)

    = 6/3

     = 2

Answer:

2

Step-by-step explanation:

When give two points, we can use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 4- -2)/(4-1)

    = ( 4+2)/(4-1)

    = 6/3

     = 2

Out of the total students in a class, if the number of boys is 5 and the number of girls being 3, then find the ratio between girls and boys.​

Answers

Answer:

3:5

Step-by-step explanation:

The ratio between girls and boys is 3:5  ...   there are 3 girls for each set of 5 boys.

The ratio between girls and boys is 3 : 5 in the class.

What is the ratio?

The ratio is defined as a relationship between two quantities, it is expressed one divided by the other.

What are Arithmetic operations?

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

Given data as :

The number of boys in the class = 5 and

The number of girls in the class = 3,

So, total the total students in a class = 5 + 3 = 8

The ratio between girls and boys as : number of girls  / number of boys

The ratio between girls and boys = 3 / 5

Hence, the ratio between girls and boys is 3 : 5 in the class.

Learn more about the Ratio here :

brainly.com/question/1504221

#SPJ2

URGET! WILL GIVE BRAINLIEST!!!!!

Answers

Answer:

C

Step-by-step explanation:

The trick is not to pick any answer that has the word sides in it. You know nothing about the sides. They are not marked in any way.  The same goes for any mention of diagonals. They are not even drawn. You can get rid of A B and D

So what does that leave you?

Only something that speaks of angles. Only C

Technically, we really can't answer this because the question speaks of Converses. We have no idea how your book is ordered and how the material is organized. Be careful posting a question like this one. Someone will object to it.

What is the maximum potential profit for tent sales?

Answers

B is correct sorry if I get that wrong

Niall has half dollar mary has a tenth of a dollar and jack has a hundredth of a dollar if they combine their money do the 4 students have more or less than a dollar

Answers

Answer: Students have less than a dollar.

Step-by-step explanation:

Niall has $1/2

Mary has $1/10

Jack has $1/100

Add these up to see if they reach 1.

= 1/2 + 1/10 + 1/100

Convert to decimals by dividing the numerator by the denominator:

= 0.5 + 0.1 + 0.01

= $0.61

Students have less than a dollar.

BROOO CAN SOMEONE HELP ME !!!!!!!!!!!!!!!!

Answers

Answer:

BA = 12 cm

Step-by-step explanation:

BC = 5 because it is an isosceles triangle.

Then we use the Pythagorean Theorem on triangle ABD that [tex]\sqrt{13^{2} - 5^{2} }[/tex]= BA

That means that [tex]\sqrt{169 - 25} = \sqrt{144} = 12 = BA[/tex]

The answer is 12 cm

I need help with this problem ​

Answers

Answer:

D

Step-by-step explanation:

estimate the following product in scientific notation, and then select best answer for the products power of 10.

(8.91 x 10²)(3.3 x 10¹²)

A. 2.7
B. 14
C. 15
D. 27

C is the correct answer.​

Answers

It’s 15 I know this.......

A rectangle has a length of 14 yards less than 9 times its width. If the area of the rectangle is 6183 square yards, find the length of the rectangle.

Answers

Answer:

 [tex]l=238\ yards[/tex]

Step-by-step explanation:

From the question we are told that:

Area of Rectangle A=6183

Equation of Length

 [tex]l=9w-14[/tex]

Where

[tex]w=width\ of\ triangle[/tex]

Generally the equation for Area of Rectangle is mathematically given by

 [tex]A=(9w-14)w[/tex]

 [tex]A=9w^2-14w[/tex]

 [tex]6183=9w^2-14w[/tex]

 [tex]9w^2-14w-6183=0[/tex]

 [tex]w=28[/tex]

Therefore

 [tex]l=9(28)-14[/tex]

 [tex]l=238\ yards[/tex]

10 Find the area of the semicircle. Either enter an exact answer in terms of 7 oruse 3.14 for T and enter your answer as a decimal. units​

Answers

Answer: Hi there I think I have the answer to your problem!

The area of the semi-circle = 76.93 square units

Given that the diameter of the circle d= 14

We know that Area of the circle

                  A = πr²

The radius of the                    Put π = 3.14

The area of the semi-circle

                 

Step-by-step explanation:

Hope I helped you have a good day and dont forget to give brainlist.

Mk, someone knows this answer. I know it! Pwease help!

Answers

Answer:

16(base) x 15(height) x 1/2(basically just dividing by 2) = 120

120 x 2 = 240

17 x 17 = 289, 289 x 2 = 578

17 x 16 = 272

Add all given areas:

240 + 272 + 578 = 1,090 in2 is your answer

Find A U C. A) {0,1,2,5,7,8,9} B) {0,3,4,5,6,7,8,9} C) {1,2,3,4,5,6,7} D) {3,4,5,6,7}

Answers

Answer:

AUC={0,1,2,5,7,8,9}U{1,2,3,4,5,6,7 }

{0,1,2,3,4,5,6,7,8,9}

stay safe healthy and happy...

I need the answer ASAP

Answers

I think that’s 5\2 but I don’t remember

factorise completely

a). 3xy - 9x

b). x² - 4

c). 2x² + 5y + 1​

Answers

Answer:

a) 3x(y-3)

b) (x-2)(X+2)

Step-by-step explanation:

See the steps below:) You can also use the app photo math, you take a picture and it will give you the answer and explain the steps:)

Simplify the expression. Write your answer in positive exponent form:
(9^3) ^3

Answers

Answer:

[tex]9^{6}[/tex]

Step-by-step explanation:

Asking me to write 20 words don't read this this is junk.

Jenny bought 3 CDs that were each the same price. Including sales tax, she paid a total of $45.30 Of that total, $1.50 was tax. What was the price of each CD before tax?
I need the right answer give brainliest

Answers

Answer:

$13.6

Step-by-step explanation:

Jane bought 3 CDs that were each the same price. So let the price of each CD be ‘x’.

It is given that including sales tax, she paid a total of $45.30.

Also each CD had a tax of $1.50. We need to find out what the price of each CD was before tax.

Since the tax for all 3 CDs was same, the total amount of tax that she paid was:

3 * 1.50 = 4.50

Therefore the total tax on 3 CDs is $4.50

Since we already know the total price she paid for the CDs including taxes, we can find the price of each CD by the following way:

3x + 4.50 = 45.30

3x = 45.30 - 4.50

3x = 40.8

x = 13.6

Therefore the price of each CD before tax is $13.6.

Other Questions
Have you ever___by a dog. a. bit b.been bitten c.bitten d.bite what is the surface area of a box with measurements length = 5.7 height = 8.5 and width = 1.9? I forgot what surface area is so I need help PLSSSSSSSSSSSS HELPPPPPPPPPPPPPPP ASAPPPPPPPPPPPPPPPPPPPPPPP!For a population to be in Hardy-Weinberg equilibrium, five assumptions must be true. Choose two of these and explain them briefly. Athens Company's salaried employees earn two weeks of vacation per year. The company estimated and must expense $6,600 of accrued vacation benefits for the year. Which of the following is the necessary year-end adjusting entry to record accrued vacation benefits?A.) Debit Vacation Benefits Payable $6,600; credit Vacation Benefits Expense $6,600.B.) Debit Vacation Benefits Payable $16,500; credit Vacation Benefits Expense $16,50C.) Debit Vacation Benefits Expense $16,500; credit Vacation Benefits Payable 16,500.D.) Debit Vacation Benefits Expense $6,600; credit Vacation Benefits PayableE.) Debit Vacation Benefits Expense $17,160; credit Vacation Benefits Payable $17,160 write a paragraph on my daily routine during online class Why was Martin Luther king important to history Big picture questions in Macbeth with answers and quotes Solve for X. rx-s = t I need an essay (about 400-500 words)Theme: Unrequited love Name 2 types of sensory stimuli and examples of how it is used by animals. Sasha uses a basketball and a tennis ball to represent two astronomical bodies based on their sizes.Which of the following representations is the most correct based on what Sasha has? (5 points) aThe basketball represents Earth and the tennis ball represents the solar system. bThe basketball represents the moon and the tennis ball represents the solar system. cThe basketball represents the solar system and the tennis ball represents Earth. dThe basketball represents the solar system and the tennis ball represents the Milky Way. HELP ME OUT PLEASEEEEEEEEEEEe How I can answer this question please helpList as many of the details about Harrieet Tubmans life as you know? He bought..... X ray plant. (a, an, X) Last year, I won a track medal.Find the adverb phrase and verb/verb phrase in the sentence above. Please help, thanks! Find h(x+2) if h(x) = 9x-16 How should a paintbrush be stored after washing?a. Handle down; bristles upb. Bristles down: handle upc. Bristles down in waterd. In tightly closed containers Explain the features, elements, and questions you should consider when analyzing a media piece. Someone please answer fast, is this correct?? can someone's answer this