Question

A kite flying in the air has a 12-ft line attached to it. It’s line is pulled taut and casts an 11-ft shadow. Find the length of the kite, if necessary round your answer to the nearest tenth

Answer 1

Answer is 4.795

Distance is approximately equals to 5

Explanation:

`by \: the \: given \: data \\ the \: required \: figure \: is \: a \: right \: \\ angled \: triangle. \\ by \: pythagoras \: theorem \\ {x}^(2) + {y}^(2) = {z}^(2) \\ here \: x = 11 \: and \: y = ? \: and \: z = 12 \\ to \: find \: : y \\ {y}^(2) = {z}^(2) - {x}^(2) \\ {y}^(2) = {12}^(2) - {11}^(2) \\ {y}^(2) = 144 - 121 \\ {y}^(2) = 23 \\ y = √(23) \\ y = 4.795 \\ y \: approximately \: equals \: 5`

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