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30 November, 08:30

The angle of elevation from a soccer ball on the ground to the top of the goal is 34. If the goal is 8 ft tall, what is the distance from the ball to the goal?

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  1. 30 November, 12:05
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    You can use the Pythagorean Theorem. Which is a^2 + b^2 = c^2.

    So now to plug in the equation.

    In your case a is 8 and c is 34. So now we need to solve for b.

    8 squared is equal to 64.

    34 squared is equal to 1156.

    Now to plug things in.

    64 + b^2 = 1156

    Now subtract 64 from 1156.

    That equals 1092.

    The equation is now

    b^2 = 1092

    Now do the square root of 1092.

    But since the square root is an irrational number you can just write b = 1092 (but put a square root with 1092)
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