A pole is braced with a wire from the top of a pole to the ground. The wire is 100 feet long and makes an angle of 40° with the ground. Find the height of the pole. 64 ft 77 ft 84 ft 156 ft

=64 ft

Step-by-step explanation:

The wire, the pole and the flat surface form a right triangle with a base angle of 40°. The pole is the height of the triangle and is opposite the angle 40°.

Therefore we can use the trigonometric ratio - sine of the angle 40° - to find the height.

Sin∅ = opposite/hypotenuse

opposite=hypotenuse * sin∅

=100ft * Sin 40°

=64.28ft

≅64 ft