# Solution: The vertical angle at point A is 30° and at point B is 40°. What is the height of the tower?

An observer wishes to determine the height of a tower. He takes sights at the top of the tower from A and B, which are 50 feet apart, at the same elevation on a direct line with the tower. The vertical angle at point A is 30° and at point B is 40°. What is the height of the tower?

#### Problem Statement: ME Board April 1997

An observer wishes to determine the height of a tower. He takes sights at the top of the tower from A and B, which are 50 feet apart, at the same elevation on a direct line with the tower. The vertical angle at point A is 30° and at point B is 40°. What is the height of the tower?
• A. 85.60 feet
• B. 92.54 feet
• C. 110.29 feet
• D. 143.97 feet

The height of the tower is 92.54 feet.

Solution:

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