Franklin is standing 30 ft from the base of a building. The angle of elevation from his feet to the top of the building is 53°.

How tall is the building?

Answer as a decimal.

Netzer7 Jun 7, 2017

#1**+2 **

Use the trigonometric ratios to find the height of the building:

\(\frac{\tan 53}{1}=\frac{x}{30}\) | The tangent trigonometric ratio compares the opposite angle and the adjacent angle. Cross multiply to isolate x. |

\(30\tan 53ft=x\) | Use a calculator to approximate the height of the building |

\(30 \tan(53)\approx39.8113ft\) | Of course, leave units in your final answer! |

One last note before you go!

Be sure that your calculator is in degree mode when doing this calculation!

TheXSquaredFactor Jun 7, 2017

#1**+2 **

Best Answer

Use the trigonometric ratios to find the height of the building:

\(\frac{\tan 53}{1}=\frac{x}{30}\) | The tangent trigonometric ratio compares the opposite angle and the adjacent angle. Cross multiply to isolate x. |

\(30\tan 53ft=x\) | Use a calculator to approximate the height of the building |

\(30 \tan(53)\approx39.8113ft\) | Of course, leave units in your final answer! |

One last note before you go!

Be sure that your calculator is in degree mode when doing this calculation!

TheXSquaredFactor Jun 7, 2017