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, mea
sures the angle of elevation to the top of the pole to be 42°. To the nearest foot, what is the height of the pole?
1 answer:
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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