When a man looks from the foot and the top of a tower at the roof of a building the angles of elevat...........

Quantitative Aptitude ( CCS) Trignometry

When a man looks from the foot and the top of a tower at the roof of a building, the angles of elevation and depression are of 27⁰ and 63⁰ respectively. If the height of the building is 40m, find the height of the tower. (tan 63⁰=2)

400m

300m

250m

200m

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Explanation:

Let AB is the tower and CD is the building of height 40m.
In ΔACD, AC/DC = cot27⁰ = cot(90-63)
Height And Distances Solved
→ AC/40 = tan63⁰ = 2
→ AC=80m
Now DE=AC=80m
In ΔBED, tan 63⁰= BE/DE
→2=BE/80 →BE=160m
∴Height of the tower = AE + EB = 40 + 160 = 200m