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Question
A kite is attached to a 100 m long string. Find the greatest height reached by the kite when its string makes an angles of 60° with the level ground.
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Solution
Given that the kite is attached to a 100 m long string and it makes an angle of 60° with the ground level which is shown in the figure below:
Suppose that the greatest height is x m.
From the figure
`x/(100)` = sin 60° ...`[because "Perp."/"Hypot." = "sin"]`
`x/(100) = sqrt(3)/(2)`
x = 86.6 m
Therefore the greatest height reached by the kite is 86.6 m.
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