Question

The length of a string between a kite and a point on the ground level is 85 m. If the string makes an angle teta with the ground level such that tan teta = 15/8 then find the height of the kite from the ground. Assume that there is no slacv in the string.

Answer 1

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Answer 2

given the length of string from kite to ground and angle the string of kite makes with the ground, find the height of kite from the ground

Explanation:

1. let point where kite is be 'K' , the point on ground along the string be 'G' and the point on ground forming the height of kite be 'P'
2. then triangle PKG is a right angled triangle with $\angle P=90$°,  $\angle G=\theta$  and $GK=85m$
3. given that, $tan\theta=\frac{15}{8}$ we get ,                                                                                        $sin\theta=\frac{15}{\sqrt{15^2+8^2} } \\sin\theta=\frac{15}{17}$     ---(a)
4. from triangle PKG we have , $sin\theta=\frac{KP}{GK} =\frac{height}{85}$                                                         equating this with (a) we get,                                                         $height=85(\frac{15}{17}) \\height=75m$  
5. hence the height of kite from the ground is $75\ m$.