Get expert insights and community-driven knowledge on IDNLearn.com. Get accurate and comprehensive answers from our network of experienced professionals.

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 being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Thank you for choosing IDNLearn.com for your queries. We’re here to provide accurate answers, so visit us again soon.