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.
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.
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.