Answered

Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Ask your questions and receive detailed answers from professionals with extensive experience in various fields. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Sarah sights the top of the Statue of Liberty from the ground. If Sarah is 5 feet tall and is standing 166 feet from the base of the statue, and the Statue of Liberty is 300 feet tall, find the angle of elevation.

Sagot :

Using the slope concept, it is found that the angle of elevation is of 60.6º.

What is a slope?

  • The slope is given by the vertical change divided by the horizontal change.
  • It's also the tangent of the angle of depression.

In this problem:

  • The vertical change is of 300 - 5 = 295 feet.
  • The horizontal change is of 166 feet.
  • The angle is of [tex]\alpha[/tex].

Hence:

[tex]\tan{\alpha} = \frac{295}{166}[/tex]

[tex]\tan{\alpha} = 1.77710843373[/tex]

[tex]\tan^{-1}{\tan{\alpha}} = tan^{-1}{1.77710843373}[/tex]

[tex]\alpha = 60.6^\circ[/tex]

The angle of elevation is of 60.6º.

You can learn more about the slope concept at https://brainly.com/question/18090623

Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We appreciate your time. Please come back anytime for the latest information and answers to your questions. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.