Question

A long wire is attached to the top of a 175 foot tall electrical transmission tower. If the wire needs to an angle of 65 degrees with the ground, then how long must it be? Round your answer to the nearest foot.

Answer 1

length of wire ≈ 193 ft(nearest foot)

Explanation:

The long wire is attached to the top of the 175 ft tall electrical transmission tower. The wire also needs to form an angle of 65 ° with the ground . The illustration forms a right angle triangle. The opposite side of the triangle is the height of the electrical pole. The angle formed with the ground is 65°. The length of the wire is the hypotenuse of the triangle .

using sine ratio

sin 65° = opposite/hypotenuse

sin 65° = 175/h

cross multiply

h sin 65° = 175

divide both sides by sin 65°

h = 175/sin 65°

h = 175/0.90630778703

h = 193.09113582

h ≈ 193 ft(nearest foot)