Question

A wire from the top of a TV tower to the ground makes an angle of 52° with the ground and touches the ground 180 feet from the base of the tower. Approximately how high is the tower?

a. 290 feet b. 230 feet c. 110 feet d. 140 feet

Answer 1

The line from the wire on the top of the Tv tower to the ground is the hypotenuse of a right triangle formed with the horizontal distance from the base of the tower and the height of tower, that is the opposite leg to the angle of elevation.​

The tangent of this angle is the ratio between the height of tower and the horizontal distance from the base of the tower.​

tangent(52º)= 1.27994163​

tangent(52º)= opposite leg/adjacent leg = height of tower/horizontal distance.​

height of tower = tangent(52º)*horizontal distance = 1.27994163*180feet​

​height of tower = 230,4 feet approximately

ANSWER = b.) 230 feet​

`\textit{\textbf{Spymore}}`​

Answer 2

That is the question? I got it right?