To solve this problem, we can set up a right triangle with the pole, the ground, and the line of sight from the surveyor to the top of the pole. The transit, which is 8 feet tall, represents the height of the surveyor's eye level.
Since the angle of elevation is 36 degrees, we have:
tan(36) = height of the pole / distance from the pole
tan(36) = height of the pole / 120
height of the pole = 120 * tan(36)
height of the pole ≈ 87.12 feet
Therefore, the height of the pole to the nearest foot is 87 feet.
The answer is A. 87 feet.
To find the height of a pole, a surveyor moves 120 feet away from the base of the pole, and then, with a transit 8 feet tall, measures the angle of elevation to the top of the pole to be 36 degrees. To the nearest foot, what's the height of the pole?
A. 87 feet
B. 95 feet
C. 71 feet
D. 79 feet
1 answer