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David the monkey is looking down at a 33° angle from the top of a tree. There are bananas on the ground 42.7 ft from the base of the tree. If David flies down from the tree in a diagonal path, as shown in the diagram, what distance would he travel? Round to the nearest tenth.

  • Math -

    We form a rt. triang:
    X = 42.7 Ft = Hor. side.
    Y = Ht of tree = Ver. side.
    Z = Diag. = Hyp.
    A = 33 Deg. = Angle bet. hyp and gnd.

    Z = X/cosA = 42.7 / cos33 = 50.9 Ft. =
    Dist .traveled.

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