Question

a) From where Jacob and his family have set up camp to the base of the mountain is 2,000 feet.The angle of elevation formed from the campsite to the top of the mountain is 54. How tallis the mountain?

Answer 1

In a diagram,

Therefore, since we are dealing with a right triangle, we can use a trigonometric identity to solve for h, as shown below

$\begin{gathered} tan(54\degree)=\frac{h}{2000} \\ \Rightarrow h=2000tan(54\degree)\approx2753 \end{gathered}$

Rounded to the nearest integer, the answer is 2753ft.