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9 August, 07:07

You are flying a kite at an angle of 70 degrees. you have let out a total of 400ft of string and are holding the reel steady 4 feet above the ground. a friend watching the kite estimates that the angle of elevation to the kite is 85 degrees. how far from your friend are you standing?

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  1. 9 August, 07:17
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    Answer: 170 ft away

    First, find the height of the kite from the ground:

    h + 4 = 400 sin 70

    h + 4 = 379.88 ft (from the ground)

    Then, my distance to the directly downwards of where the kite is flying is:

    d = 400 cos 70

    = 136.8 ft

    Then the distance of my friend from me:

    D = 136.8 ft + (379.87) tan 85

    = 170 ft
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