trig and geometry

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bernhardt and julia are observing an eagles nest in a tree. Julia is 75m from the tree, and sees it at an angle of elevation of 42 degrees

A)How high up the tree is the nest


B)Bernhardt is standing 30m behind julia. At what angle of elevation does he see the nest?

  • trig and geometry -

    A )

    tan ( 42 ° ) = H / 75

    H = 75 tan 42 °

    H = 75 * 0.9004

    H = 67.53 m


    B )

    tan ( theta ) = H / ( 75 + 30 )

    tan ( theta ) = H / 105

    tan ( theta ) = 67.53 / 105

    tan ( theta ) = 0.643143

    theta = 32 ° 44 ' 49 "

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