A bird was sitting 12 meters from the base of an oak tree and flew 15 meters to reach the top of the

Discussion in 'Calculator Requests' started by math_celebrity, Oct 21, 2021.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    A bird was sitting 12 meters from the base of an oak tree and flew 15 meters to reach the top of the tree. How tall is the tree?

    So we have a right triangle. Hypotenuse is 15. Base is 12. We want the length of the leg.

    The formula for a right triangle relation of sides is a^2 + b^2 = c^2 where c is the hypotenuse and a, b are the sides

    Rearranging this equation to isolate a, we get a^2 = c^2 - b^2
    Taking the square root of both sides, we get a = sqrt(c^2 - b^2)
    a = sqrt(15^2 - 12^2)
    a = sqrt(225 - 144)
    a = sqrt(81)
    a = 9 meters
     

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