Question

A flagpole 40 feet high stands on top of the wentworth building. from a point in front of bailey's drugstore, the angle of elevation for the top of the pole is 54° 54', and the angle of elevation for the bottom of the pool is 47° 30'. how high is the building?

Answer 1

To find the height of the building, we can use the concept of trigonometry: tan(54° 54') = h/40. Solving this equation, we find that h ≈ 57.87 feet.

Step-by-step explanation:

To find the height of the building, we can use the concept of trigonometry. Let's assume the height of the building is h. We have two angles of elevation, 54° 54' for the top of the pole and 47° 30' for the bottom of the pole.

From the perspective of the observer at Bailey's Drugstore, the top of the pole and the top of the building are in the same line of sight. So, we can set up a trigonometric equation to find the height of the building: tan(54° 54') = h/40.

Solving this equation, we find that h ≈ 57.87 feet. Therefore, the height of the building is approximately 57.87 feet.