A 90-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the ground. How high is the top of
the tree house? Round your answer to the nearest tenth of a foot.

Answers

Answer 1

Answer:

63.6 feet

Step-by-step explanation:

[tex]sin (45)=\frac{x}{90}[/tex][tex]x=90 sin (45)[/tex][tex]x=45\sqrt{2}[/tex]x = 63.6 feet

Related Questions

A bottle holds exactly 2/3 pint of liquid. How many 2/3-pint bottles can be filled from a 24-pint container

Answers

Answer:

36 number of 2/3-pint bottles can be filled from a 24-pint container

Step-by-step explanation:

Volume of the container is 24 pint

Volume of the bottle is 2/3 pint

Number of 2/3 pint bottles that can be filled from 24 pint container is

[tex]\frac{24}{\frac{2}{3} } \\= 24 * \frac{3}{2} \\= 12 * 3\\= 36[/tex]

36 number of 2/3-pint bottles can be filled from a 24-pint container

A truck is painting traffic lines along a highway the truck paints 8 miles of lines in 3 hours at the rate how many miles can a truck paint in 12 hours.

Answers

Answer:

The truck can paint 32 miles in 12 hours.

if 14 men can cultivate 42acres of land in 18weeks, how many weeks will 21 men working at the same rate take to cultivate 56 acres of land​

Answers

Answer:

16 weeks

Step-by-step explanation:

help please !!!!.......​

Answers

Answer:

x=60°,120°

Step-by-step explanation:

4sinx=3cosecx

4sinx-3cosecx=0

4sinx-3/sinx=0

4sin²x-3=0

sin²x=3/4

sinx=√(3/4)

sinx=√3/2=sin60°,sin(180-60)

Answer:

sin (180-60)is the correct answer Hope it helps you have a great day keep smiling be happy stay safe

HELP HELP HELP HELP JUST TWO SMALL THINGS

put down whatever pls give me actual answers

Answers

Answer:

for what question i dont see the quetsion

Step-by-step explanation:

Solve the following:
⅜x - 16 = 16

Answers

Answer:

x = 256/3

Step-by-step explanation:

3/8x - 16 = 16

Add 16 to both sides

3/8x = 32

Multiply 8 by both sides

3x = 256

Divide 3 by both sides

x = 256/3 or 85.3333333

Helllpppppppppppp fast this

Answers

Answer:

None of he choices are correct. Now before you say I'm wrong, look at any one of the unknown angles. You can plainly see that they each are greater than 90 °.

x = 120°

Step-by-step explanation:

5 sides

(180 x 5) - 360 = 540° total of interior angles

540 - 90 - 90 = 360° total for the 3 unknown angles

x = 360/3 = 120°

How can you determine the part of an hour that is 15 minutes?

Answers

Answer:

You'll need to convert the minutes part to hours. 15 minutes times 1 hour per 60 minutes will make the conversion to hours and minutes will cancel out. 0.25 hours times 60 minutes per 1 hour = 0.25 hr × (60 min/ 1hr) = (0.25 × 60) min = 15 minutes.

Step-by-step explanation:

Sarah adds 2 to her shells each week. which pattern could show how many shells Sarah has each week?

Answers

Answer: You can add 2 shells each week so you can count by 2's or multiply 2 to each week.

Step-by-step explanation:

2x1=2

2x2=4

2x3=6

2x4=8

2x5=10

2x6=12

2x7=14

2x8=16

2x9=18

2x10=20

etc..

The table shows the heights of some United States
waterfalls. What is the height of each waterfall?

Answers

Answers:

In order: 620, 256, and 212

Explanation:

2^2 • 5 • 31
4 • 5 • 31
20 • 31
620

2^8
2 • 2 • 2 • 2 • 2 • 2 • 2 • 2
4 • 4 • 4 • 4
16 • 16
256

2^2 • 53
4 • 53
212

The volume of a right rectangular prism can be found by using the product 6(4)(18). Which expression could also be used to determine the volume of this prism?
A. 6 + 4 + 18
B. 2(6 + 4 + 18)
C. 32(18)
D. 4(6)(18)

Answers

Answer:

c

Step-by-step explanation:

Answer:

guys its D

Step-by-step explanation:

Can someone help (this is 12 year old math)​

Answers

Answer:

Then why are you even doing that?

Step-by-step explanation:

please please help!!, please show help if possible :D

Answers

the answer would be seven i think

A triangle has angle measurements of 41°, 41°, and 98°. What kind of triangle is it?

Answers

Answer:

isosceles triangle?????????????????.................

Isosceles apparently lol.

translate the phrase into a variable expression. use the letter m to name the variable. if necessary, use the asterisk for multiplication and the slash for division. the total number of minutes billed on the phone bill split between 3 phones

Answers

Answer:

m/3

Step-by-step explanation:

fghbzsvbftgzgbtefnysffafbydfs

please answer this for me?

Answers

Answer:

abkjjnjnnnnjxnjxbksbx

Step-by-step explanation:

Lol idont know sorry

b/2+1=5
solve this equation

Answers

Answer:

b=8

Step-by-step explanation:

b/2+1=5

b/2=5-1

b/2=4

b=4×2

b=8

how many times does 91 go into 15???

Answers

Answer:

18.2

Step-by-step explanation:

divide 91 by 5

x x x x x. x x x x x x x x x x xx. x

(WIll mark as brainliest) Which one of these graphs is a function and why and why not?

Answers

answer : Graph B

you’re welcome ! have a great night/day .

Some one help ASAP!!

Answers

okay where’s the question smarty

Please help me! I'm stuck and I don't know what to do!!! By the way, please don't insert a link, as I cannot reach them.

Answers

Answer:

study more so you can understand

Select all the figures that are shaped to represent 60% of the whole.​

Answers

It would be A and C , in B it’s full so it’s a 100% and we’re looking for 60

Suppose WX = 4x - 8 and WZ = 2x + 2. Solve for x

Answers

Answer: 5

Step-by-step explanation:

Because the shape is a kite we can tell that WX and WZ are congruent.

So 4x-8 = 2x+2

Add 8 to both sides

4x = 2x+10

Subtract 2x

2x = 10

Divide by 2

x = 5

Kathleen, a professional golfer, had an average score last season
of 80 points. This season, her average score has been 72 points.
What is the percent of decrease in Kathleen's average score?

Answers

(|currentavg-initialaverage|/initialavg)*100 gives percent difference so:

(|72-80|)/(80)*100

gives a 10 percent difference (decrease)

80 100%
72 X%
X%=72•100/80
X=90 %
100-90=10%
Decrease in Kathleen’s average score is 10%. Good luck.

A quadratic function is shown on the graph below.
Which statement BEST describes its domain and range?
PLEASE HELP ME! THANK YOU!

Answers

The domain is the input value which is the x values

Because the graph continues off the page in a U shape the domain is any real number.

The bottom of the U is at x = 3 and y = 2 so the range is any number greater than or equal to 2

The answer is the first choice.

A boy weighs 27 kilograms. Hoy much does he Weigh in pounds?

Answers

Answer:

59.5248

Step-by-step explanation:

This is for today someone can help me pls!!!

Answers

Answer:

sdf

Step-by-step explanation:

sdfgh

Brad swims 4 laps every 6min how long does it take him to swim 14 laps?

Answers

Answer:

21 minutes

Step-by-step explanation:

4 goes into 14 three times which is 18 minutes. We need 2 more laps four for 6 can be 2 for 3.

A certain drug is made from only two ingredients: compound A and compound B. There are 3 milliliters of compound A used for every 4 milliliters of compound B. If a chemist wants to make 378 milliliters of the drug, how many milliliters of compound B are needed?

Answers

Answer:

216 milliliters

Step-by-step explanation:

Since, there are 3 milliliters of compound A used for every 4 milliliters of compound B.

Therefore,

A : B = 3 : 4

Let the common multiplier of the given ratios be x.

So, A = 3x & B = 4x

Since, chemist wants to make 378 milliliters of the drug.

Therefore, total volume of drug = 378 milliliters.

3x + 4x = 378

7x = 378

x = 378/7

x = 54

4x = 4*54 = 216

Thus, 216 milliliters of compound B are needed.

Triangle G F E is cut by line segment H J. Line segment H J goes from side G E to F E. The length of G F is 4 x minus 4, the length of H J is x + 3, and the length of J E is x minus 1.
If H is the midpoint of GE and J is the midpoint of FE, determine the following lengths.

HJ =

JE =

Answers

Answer:

HJ = 8  JE = 4

Step-by-step explanation:

it is given that H is the midpoint of GE and J is the midpoint of FE. According to the midpoint theorem the line segment connecting the midpoint of two sides is parallel to the three side and its length is half of the third side. since JH is connecting the midpoints.

HJ= 1/2 (GF)

x + 3 = 1/2 (4x - 4)

x + 3 = 2x - 2

x = 5

^ Thus meaning the value of x is 5.

Now you just fill into your equations:

HJ = x + 3 = (5)  + 3 = 8

JE = x - 1 = (5) - 1 = 4

Therefore, HJ = 8; JE = 4.

Answer:

HJ = 8

JE = 4

Step-by-step explanation:

Your welcome.

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