The angles of depression and elevation of the top of a building 15m high from the top and bottom of ...........

Quantitative Aptitude ( CCS) Trignometry

The angles of depression and elevation of the top of a building 15m high from the top and bottom of a tower are 60⁰ and 30⁰ respectively. Find the height of the tower

40m

50m

60m

80m

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Explanation:

Let AB is the tower and CD is the building of height 15m
∴CD = AE = 15m
In ΔACD, tan 30⁰ = CD/AC
⇒ 1/√3 = 15/AC
Heights & Distance Probs
⇒ AC = 15√3m
∴ DE = 15√3m
Again in ΔBED, tan 60⁰ = BE/ED
⇒ √3 = BE/15√3
⇒ BE = 45m
The height of the tower = AB = AE + EB = 15 + 45 = 60m