It's going to be hard!

Geometry Level 2

The length of string between a kite and a point on the ground is 90 meters.If the string makes an angle θ \theta with the ground level such that t a n tan θ = 15 8 \theta=\frac{15}{8} , how high is the kite?Assume that there is no slack in the string.


The answer is 79.41.

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1 solution

Drex Beckman
Jan 27, 2016

a r c t a n ( 15 8 ) ≈ 69.9275 arctan(\frac{15}{8})\approx{69.9275} . s i n ( 69.9275 ) ⋅ 90 = 79.41 sin(69.9275)\cdot {90}=\boxed {79.41} .

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