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Question

Mathematics Question on Heights and Distances

The Qutab Minar casts a shadow 150 m long at the same time when the Vikas Minar casts a shadow 120 m long on the ground. If the height of the Vikas Minar is 80 m, find the height of the Qutab Minar.

A

100 m

B

180 m

C

150 m

D

120 m

Answer

100 m

Explanation

Solution

Let's Assume The triangles formed by Qutub minar and Vikas minar be similar, so
Let's take the height of Qutub minar be x
150120\frac{150}{120} = x80\frac{x}{80}
After solving the equation,
we get x = 100 m (Height of Qutub minar)
The correct option is (A)