To find the height of a pole, a surveyor uses a theodolite. The theodolite is 4 ft tall. The surveyor stands 140 feet away from the base of the pole. Then she measures the angle of elevation to the top of the pole to be 44°. What is the height of the pole? Round the answer to the nearest foot.
Accepted Solution
A:
tan 44° = x/140
x = 140 tan 44°
x approx = 140 * 0.9657 = 135.198
Remember, we need to add another 4 feet, so the answer would be 139.198 feet