# A flagpole 40 feet high stands on top of the a building. From a point in front of the store, the angle of elevation for the top of the pole is 54° 54', and the angle of elevation for the bottom of the pole is 47° 30'. How high is the building?

##### 1 Answer

Oct 22, 2015

The building is

#### Explanation:

If the horizontal distance to the building is

and the building is

(and assuming the flag pole is at the near edge of the building):

Simplifying:

Using a calculator to determine actual values of the