Q: Two cars are parked on opposite sides of a long tower. From the cars, the angle of elevation of the top of the tower is 30
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A
158 m
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B
100.6 m
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C
136.5 m
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D
200.75 m
C
Answer:
C
Explanation:
Assume the distance between the tower and the two cars is x+y.'
[adjacent side = car-to-tower distance]
[opposite side = tower height]
tan = opposite side/adjacent side
Triangle 1:
tan30° = 50/x => x = 50√3
Triangle 2:
tan45° = 50/y => y = 50
SOLUTION
Distance between two cars = x + y = 503 + 50 = 50(3+1) = 50*2.732 = 136.5 m
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