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Q.

A kite flies in the sky with a thread of $68 m$ and makes an angle $θ$ . If $\tan θ = \frac{15}{8}$ , then the height of the kite above the ground is

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a

$70 m$

b

$60 m$

c

$80 m$

d

$50 m$

answer is B.

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Detailed Solution

Question Image

$Δ A B C ~ Δ D E F$

$\frac{A B}{D E} = \frac{B C}{E F}$

$\frac{h}{15} = \frac{68}{17}$

$h = 60 m t s$

$∴$ height of the kite above the ground $= 60 m t s$

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