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RiyaR: Senior | Next Rank: 100 Posts; Posts: 98; Joined: Sat May 31, 2014 8:29 pm; Thanked: 1 times; Followed by:2 members

Geometry

by RiyaR » Mon Jul 21, 2014 9:21 am

1. Aboy is standing at a distance of 12m infornt of a light pole 16 m high. What is the length of his shadow if the height of the boy is 1m?

2. With the vertices of a traingle as centre, 3 circles are made, each touching the other externally. If the sides of the triangle are 3cm, 6 cm and 7cm respectively, find the radii of the circles in cm.

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Source: Beat The GMAT — Problem Solving | Mon Jul 21, 2014 9:21 am

GMATinsight: Legendary Member; Posts: 1100; Joined: Sat May 10, 2014 11:34 pm; Location: New Delhi, India; Thanked: 205 times; Followed by:24 members

by GMATinsight » Mon Jul 21, 2014 10:14 am

RiyaR wrote:1. Aboy is standing at a distance of 12m infornt of a light pole 16 m high. What is the length of his shadow if the height of the boy is 1m?

2. With the vertices of a traingle as centre, 3 circles are made, each touching the other externally. If the sides of the triangle are 3cm, 6 cm and 7cm respectively, find the radii of the circles in cm.

Answer to Question 1:

Concept:
Ratio of Heights of Pole and boy = Ratio of Lengths of shadows of Pole and boy respectively

Something seems missing...
[Considering the boy is standing right at the end of the shadow]

16/12 = 1/x

i.e. x = 4/3 mt. Answer

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GMATinsight: Legendary Member; Posts: 1100; Joined: Sat May 10, 2014 11:34 pm; Location: New Delhi, India; Thanked: 205 times; Followed by:24 members

by GMATinsight » Mon Jul 21, 2014 10:29 am

RiyaR wrote: 2. With the vertices of a traingle as centre, 3 circles are made, each touching the other externally. If the sides of the triangle are 3cm, 6 cm and 7cm respectively, find the radii of the circles in cm.

Answer to Question 2: