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A tree that is 100 feet tall casts a shadow that is 150 feet long. Determine the angle at which the rays of the sun hit the ground, to the nearest degree.

  • math -

    tan ( theta ) = 100 / 150 = 2 * 50 / ( 3 * 50 )

    tan ( theta ) = 2 / 3

    theta = tan ^ - 1 ( 2 / 3 )

    theta = 33.69 °

    theta = 34 ° ( to the nearest degree )


    Remark :

    tan ^ - 1 ( 2 / 3 )

    is the inverse tangent function of 2 / 3

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