• Ganesh's house is right 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.

 A) 15 mts.

A is Vasu's house

B is Ganesh's house

C is Bus stand

To find the distance AC

From $$\Large \triangle ABC,\ AC^{2} = BC^{2} - AC^{2}$$

= $$\Large 25^{2} - 20^{2}$$

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

= $$\Large 45 \times 5 = 225$$

$$\Large AC = \sqrt{225} = 15$$

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

##### Similar Questions
1). A taxi driver commenced his journey towards south. After travelling 20 kms. he then turns towards north. After covering 30 kms. he turns towards east and travels 15 kms. He then turns to the south and travels 10 kms. How far is he from the original position and in which direction.
 A). 16 kms. North direction B). 15 kms. East direction C). 18 kms. East direction D). 20 kms. East direction
2). Ankit started walking towards North. After walking 30 metres, he turned towards left and walked 40 metres. He then turned left and walked 30 metres. He again turned left and walked 50 metres. How far is he from his original position.
 A). 50 metres B). 40 metres C). 30 metres D). None of these
3). From point X, Akila starts walking towards East. After walking 40 metres, she turns to his right and walks 15 metres. She then turns to her right and walk 40 metres. She again turns to his right and walks 30 metres. How far is she from point X in which direction.
 A). 10 metres North B). 15 metres North C). 16 metrles South D). 20 metres East
4). A man starts from his house and walks 12 km. in Smith direction, then he turns right and goes 7 km; again he turns right and goes 12 km. and finally turns right and goes 7 km. At what distance is he from the starting point and in which direction.
 A). at starting point B). 3 km. North C). 4 km. South D). 6 km. East
5). A man walks 20 metres towards East and then turns 10 metres to his right. Then he turns to his left he walks 5 metres and then to his left 15 metres and turn his left and walks 25 metres. How far is he now from starting point.
 A). 10 metres B). 5 metres C). 15 metres D). 25 metres
6). A man walks 9 metres towards South and turns right and walks 12 metres and then turns right and walks 6 metres. Then he turns right and walks 6 metres and then turns left and walks 10 metres and then again turns left and walks 20 metres. Now in which direction the man is facing.
 A). South direction B). East direction C). West direction D). North East direction
 A). 15 km. B). 10 km. C). $$\Large 5 \left(\sqrt{2}+1\right)\ km.$$ D). $$\Large \left(5\sqrt{3}-1\right) km.$$