Question

A guy wire for a tree is 14 feet long. Making a 41° angle with the ground, how far is the base of the tree from the stake anchoring the wire?​

Answer 1

Draw the picture; you have a right triangle. The guy wire is the hypotenuse
You want the length of the base when the side opposite the 41 degree angle
is the tree.
You have an angle and the hypotenuse; the base is the side adjacent to the
41 degree angle.
EQUATION:
cos(41) = adjacent/hypotenuse = x/14
14cos(41) = x
x = 10.57 ft