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A chair is placed near a 26-ft tall tree. A right triangle is formed between the chair, the base of the tree, and the top of the tree. The angle formed at the top of the tree is 56°.

How far from the tree is the chair?

 

Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.

Ashlay  Jun 10, 2017

Best Answer 

 #1
avatar+1221 
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You must understand the trigonometric functions to solve this problem. We can use these because we know that we have a right angle because it is given in the diagram:
 

\(\frac{\tan 56}{1}=\frac{x}{26}\) The tangent function compares the opposite angle to the adjacent one. Cross multiply to isolate x.
\(26\tan 56=x\) Use a calculator to approximate the distance to the tenth, as instructed.
\(x\approx38.5ft\) Of course, don't forget your units on your final answer!
   

 

You are done! YEAH. I also feel as if I have answered this exact question before; I guess I am glad that I am answering it again.

TheXSquaredFactor  Jun 10, 2017
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1+0 Answers

 #1
avatar+1221 
+2
Best Answer

You must understand the trigonometric functions to solve this problem. We can use these because we know that we have a right angle because it is given in the diagram:
 

\(\frac{\tan 56}{1}=\frac{x}{26}\) The tangent function compares the opposite angle to the adjacent one. Cross multiply to isolate x.
\(26\tan 56=x\) Use a calculator to approximate the distance to the tenth, as instructed.
\(x\approx38.5ft\) Of course, don't forget your units on your final answer!
   

 

You are done! YEAH. I also feel as if I have answered this exact question before; I guess I am glad that I am answering it again.

TheXSquaredFactor  Jun 10, 2017

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