# Thread: Trig angle of elevation problem

1. ## Trig angle of elevation problem

A bit confused with this problem can anyone help?
The angle of elevation to the top of a building changes from 25 degrees to 50 degrees as an observer advances 75 feet toward the building. Find the height of the building to the nearest foot.

2. ## Re: Trig angle of elevation problem

Originally Posted by Danielleannxo
A bit confused with this problem can anyone help?
The angle of elevation to the top of a building changes from 25 degrees to 50 degrees as an observer advances 75 feet toward the building. Find the height of the building to the nearest foot.
Suppose that $h$ is the height of the building and $d$ is the initial distance the observer is from that building.

The from the given $\tan\left(25^o\right)=\dfrac{h}{d}~\&~\tan\left(5 0^o\right)=\dfrac{h}{d-75}$

Now you solve for $h$.