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20 April, 10:43

What is the height of a flag pole that casts a shadow of 100 feet when the angle of elevation of the sun is 62º? (to the nearest tenth)

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  1. 20 April, 11:32
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    x=53.2

    Step-by-step explanation:

    SOH CAH TOA

    It would be TOA because we have opposite and we are looking for adjacent.

    1. Tan62 = 100/x (It would be opposite/adjacent)

    2. x * Tan62 = 100/x * x (multiply x by both sides to take it out of the denominator)

    3. x * Tan62 = 100 (x cancels out)

    4. x * Tan62/Tan62 = 100/Tan62 (remember were trying to get x alone so we divide both sides by Tan62

    5. x = 100/Tan62 (Tan62 cancels out on the left side, leaving x alone)

    6. In your calculator you do 100 divided by Tan62 to give you 53.17094317

    7. You simplify to the nearest tenth to end up with

    x = 53.2
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