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To find the height of a pole, a surveyor moves 150 feet away from the base of the pole and then, with a transit 4 feet tall, measures the angle of elevation to the top of the pole to be 42°. To the nearest foot, what is the height of the pole?

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Answer: The answer is 139 feet

H = height of the pole =?

BC = ED = height of the transit = 4 ft

CD = BE = distance moved away from the base of the pole = 140 ft

Consider the ΔABE

tan44 = AE/BE

tan44 = h/140

h = 140 tan44

h = 135.2 ft

H = height of pole = AE + ED = h + ED = 135.2 + 4

H = 139.2 ft

Step-by-step explanation:

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