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# How far from the tree is the chair

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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?

Ashlay  Jun 10, 2017

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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
Sort:

#1
+815
+2

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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