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

#1**+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

#1**+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