Ganesh's house is left of Vasu's house at a distance of 20 metres in the same row facing north. Ganapathy covers a distance of 25 mts. from Ganesh's house in northeast direction to reach bus stand. How much distance does Ganapathy to cover to come to Vasu's house.

A) 15 mts.

B) 24 mts.

C) 40 mts.

D) 35 mts.

Correct Answer:
A) 15 mts.

Description for Correct answer:

A is Vasu's house

B is Ganesh's house

C is Bus stand

To find the distance AC

From \( \Large \triangle ABC,\ AC^{2} = BC^{2} - AB^{2} \)

= \( \Large 25^{2} - 20^{2} \)

=\( \Large \left(25+20\right) \left(25-20\right) \)

= \( \Large 45 \times 5 = 225 \)

\( \Large AC = \sqrt{225} = 15 \)

Ganapathy has to cover a distance of 15 mts. to come to Vasu's house.

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