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Question

If the distance between the top of two trees of height 20 m and 28 m is 17 m, then the horizontal distance between the trees is:


A

11 m

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B

31 m

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C

15 m

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D

9 m

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Solution

The correct option is C

15 m


Let AB and CD be two trees such that AB=20 m, CD=28 m and BD=17 m.


Draw a line BE parallel to AC.
Then, ED=8 m.

By applying Pythagoras' theorem in triangle BDE, we get
BE2+DE2=BD2.

BE=BD2DE2 =(17)282
=28964=225=15 m

AC=BE=15 m

So, the horizontal distance between the trees is 15 m.


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