Answer:
=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