1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
andre [41]
3 years ago
14

A 100-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 o

f the tree house? Round your answer to the nearest tenth of a foot.

Mathematics
1 answer:
DochEvi [55]3 years ago
8 0

Answer:

The height of tree house is 70.71 feet

Step-by-step explanation:

We are given that A 100-foot rope from the top of a tree house to the ground forms a 45∘ angle of elevation from the ground

Refer the attached figure

Length of rope AC = Hypotenuse =100 feet

The top of a tree house to the ground forms a 45∘ angle of elevation from the ground =\angle ACB = 45^{\circ}

We are supposed to find the height of tree house i.e.AB = Perpendicular

So, Using trigonometric ratio

Sin \theta = \frac{perpendicular}{Hypotenuse}\\Sin 45= \frac{AB}{AC}\\\frac{1}{\sqrt{2}}=\frac{AB}{100}\\100 \times \frac{1}{\sqrt{2}}=AB\\70.71=AB

Hence The height of tree house is 70.71 feet

You might be interested in
Please answer!
Alisiya [41]

Answer:

I would go with option 4

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The formula c = 5p + 215 relates c, the total cost in dollars of hosting a birthday party at a skating rink, to p, the number of
yarga [219]
Given:
c = cost
p = people
Spent $300

Formula: c=5p+215

Solving for how many people (p)

C=5P+215
(300)=5P+215               (Subtract 215 on both sides)
85=5P                           (Divide by 5 on both sides)
17=P

The answer is 17. 17 people can afford to host a birthday party.
3 0
3 years ago
Which graph represents this system? <br> 2x-5y=-5<br> Y=2/5x+1
zhenek [66]

both equations line up

7 0
3 years ago
Read 2 more answers
Factor the following trinomial. 2x^2+12x+16
kobusy [5.1K]
(2x + 8) (x+2) is what I got
3 0
3 years ago
Read 2 more answers
Paul will pay for his new car in 36 monthly payments. If his car loan is for $19,061, then how much will Paul pay each month? Ro
fomenos

Answer:

$529.47

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • The circumference of a circle is 28π inches. What is the length of the radius of this circle?
    12·2 answers
  • Help!!!!! I don’t understand how to do this.
    11·1 answer
  • What's the greatest common factor of 45,9,63
    12·2 answers
  • How to find missing angles​
    15·1 answer
  • 4t−3&gt;37t−50<br><br> please help meh
    13·2 answers
  • Determine the coordinates of the point that partitions the segment from E to F into the ratio 3:5
    9·2 answers
  • 3 people can build a shed in 8 hours how long would it take 5 people
    10·1 answer
  • Anybody know what 2(2x - 9) = 38 is?
    12·2 answers
  • Explain how you can find the sign of the product of two or more rational numbers.
    8·1 answer
  • 2(6.75)+1.03+3S=22 therefore 3S = 14.53 divide by 3 so S equals 4.84 per pair of socks
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!