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math

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toby the cat is stuck in a tree. billys dad placed a ladder 5 feet from the base of the tree and then leaned the ladder against the tree. the top of the ladder is where toby is sitting. if the ladder makes a 65 degree angle with the ground, how far up the tree is the cat?

  • math - ,

    tan 65 = h/5

  • math - ,

    The ladder and tree form a right triangle with the ground, The height
    (h) is the distance from the base of the tree to the point where the ladder touches the tree.

    Sin65=h/X=h/5, h=5Tan65=10.7 Feet

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