Question

Two buildings are 35 meters apart. The height of the shorter building is 40 meters. The angle of elevation from the top of the shorter building to the top of the taller building is 30 degrees. What is the height of the taller building?

A. 35 meters
B. 50 meters
C. 40 meters
D. 60 meters

Answer 1

To find the height of the taller building, use the tangent function to solve for 'x'. The height of the taller building is approximately 20.23 meters.

Step-by-step explanation:

To find the height of the taller building, we can use trigonometry. Let's label the height of the taller building as 'x'. Since we have the angle of elevation and the distance between the buildings, we can use the tangent function:

tan(30°) = x/35

Solving for 'x', we get:

x = 35 * tan(30°)

Using a calculator, we find that x is approximately 20.23 meters. Therefore, the height of the taller building is approximately 20.23 meters, which is closest to option B: 50 meters.