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The distance between the tops of two trees $20 m$ and $28 m$ high is $17 m$ . The horizontal distance between the two tree is

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9 m

11 m

15 m

31 m

answer is C.

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Detailed Solution

It is given that the distance between the tops of two trees

20 m

and

28 m

high is

17 m

In right-angled

△ ABE

A B^{2} = B E^{2} + A E^{2}

⇒

A E^{2} = A B^{2} - B E^{2}

⇒

A E^{2} = 17^{2} - 8^{2}

⇒

A E^{2} = 289 - 64

⇒

A E^{2} = 225

Taking square root,
⇒

AE = \sqrt{225}

⇒

AE = 15

m
Now,

AE = CD

\Rightarrow CD = 15 m

Hence, the correct option is 3.

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