On the roof of a building 20 m high a boy is flying a kite To keep that kite flying a thread of leng...........

Quantitative Aptitude ( CCS) Height and Distance

On the roof of a building 20 m high, a boy is flying a kite. To keep that kite flying a thread of length 75 m is released. If the thread makes an angle of 45⁰ with the horizontal, then at what height from the ground is the kite flying?

73.3 m

66 m

63.3 m

53.6 m

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Explanation:

Let AB is the building of height 20 m and BC is the string.
In ΔBDC, sin45⁰ =CD/BC
Height And Distances Solved
→ 1/√2 = CD/BC
→ 1/√2 = CD/75
→ CD = 75/√2 = 43.3m
Hence the distance above the ground = 20 + 43.3 = 63.3 m