B. 95 feet
To find the height of the pole, we can use the tangent function.
tan(36°) = height of pole / 120 feet
height of pole = 120 feet * tan(36°)
height of pole ≈ 120 feet * 0.7265
height of pole ≈ 87.18 feet
Since the transit is 8 feet tall, we need to add the height of the transit to the height of the pole to get the total height of the pole:
Total height of pole = height of pole + height of transit
Total height of pole = 87.18 feet + 8 feet
Total height of pole = 95.18 feet
Rounded to the nearest foot, the height of the pole is 95 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°. To the nearest foot, what is the height of the pole? (1 point) Responses
A. 87 feet
B. 95 feet
C. 71 feet
D. 79 feet
1 answer
2 answers