Arithmetic Aptitudes › Height and Distance › Question #4193
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QTwo 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

ID: #4193 Height and Distance 275 views
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#4193Q ID
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Height and DistanceTopic
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  • A 158 m ✔ ✖
  • B 100.6 m ✔ ✖
  • C 136.5 m ✔ ✖
  • D 200.75 m ✔ ✖
Correct Answer

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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