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?
79 feet
95 feet
87 feet
71 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 feet
Therefore, the height of the pole is approximately 87 feet.
So, the closest option is 87 feet.