At a point on the ground 60 Ft from the base of a tree, the distance to the top of the tree is 4 ft more than 2 times the hei

Question

At a point on the ground 60 Ft
from the base of a tree, the distance
to the top of the tree is 4 ft more
than 2 times the height of the tree.
Find the height of the tree in ft.​

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Piper 2 weeks 2021-10-10T23:55:31+00:00 1 Answer 0

Answers ( )

    0
    2021-10-10T23:56:43+00:00

    The height of the tree is 32 feet.

    Step-by-step explanation:

    Let the height of the tree be x.

    Connect the top of the tree, the point on the ground, and the bottom of the tree to form a right triangle.

    Use Pythagorean theorem to solve for x.

    (4+2x)^2 = x^2 + 60^2

    x = 32

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