# A tree is standing behind a building. 2/5th of the height of the tree can be seen and the rest is hidden by the building. The building is 9 metres high. What ia the height of the tree?

2
by rockingsudeep312

2015-04-24T22:01:33+05:30

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let the height of the tree = x
3/5 * x = 9
x = 15
now, height of the tree = 15
2015-04-24T22:01:57+05:30

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Let the height of the tree = H meters

The part of the tree that is visible = 2/5 * H

the part which is hidden by the building = H - 2/5 * H = H * [ 1 - 2/5 ]
= 3/5 * H

the part hidden of the tree = the height of the building
3/5 * H = 9 meters
H = 9 * 5 / 3 = 15 meters

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