### Home > GC > Chapter 4 > Lesson 4.2.1 > Problem4-57

4-57.

Kamillah decided to find the height of the Empire State Building. She walked $1$ mile away ($5280$ feet) from the tower and found that she had to look up $15.5^{\large \circ }$ to see the top. Assuming Manhattan is flat, if Kamillah’s eyes are $5$ feet above the ground how tall is the Empire State Building?

Draw a diagram to help solve this problem.

$\text{tan}(15.5º) = \frac{\textit{x}}{5280}$

Don't forget that $x$ is $5$ feet off the ground.