Two silos are 25 meters apart. The height of the shorter silo is 23 meters. The angle of elevation from the shorter silo to the taller silo is 30°. What is the height of the taller silo?

*see attachment for diagram

37 m

Step-by-step explanation:

First, use trigonometric ratio to find the distance between the top of the shorter silo to the top of the taller silo.

Let the distance between the top of the smaller silo and the top of the taller silo be x.

Thus, we would have:

Tan 30 = opp/adj = x/25

Tan 30 = x/25

Multiply both sides by 25

25*Tan 30 = x

x = 14 m (nearest meter)

The height of the taller silo = height of the smaller silo + x

= 23 m + 14 m

= 37 m