Question

A nursery plants a new tree and attaches a guy wire to help support the

tree while its roots take hold. An eight foot wire is attached to the tree
and to a stake in the ground. From the stake in the ground the angle of
elevation of the connection with the tree is 42°. Find to the nearest tenth
of a foot, the height of the connection point on the tree.

Answer 1

5.4'

Explanation:

See diagram attached.

The 8' wire is the hypotenuse of the triangle, with a base angle of 42°.

Hence the height is the length of the hypotenuse multiplied by sin(42°)

H = 8sin(42°) = 8 *0.6691 = 5.353'