From the top of a cliff 90 m high the angles of depression of the top and bottom of a tower are obse...........

Quantitative Aptitude ( CCS) Trignometry

From the top of a cliff 90 m high, the angles of depression of the top and bottom of a tower are observed to be 30° and 60°, respectively. What is the height of the tower?

30 m

40 m

55 m

60 m

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Explanation:

Given, AB = 90 m

∠ADE = 30°

And ∠ACB = 60°

Then, DC = ?

Ratio of angles,

tan 30°/tan 60°= AE/ED/AB/BC

[? ED = BC]

1/√3/√3=AE/90

1/3=AE/90

AE = 30 m

Now, DC = EB

= AB – AE

= 90 – 30 = 60 m

By: MIRZA SADDAM HUSSAIN

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From the top of a cliff 90 m high the angles of depression of the top and bottom of a tower are obse...........

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