Question

A 135.8 foot wire is attached to the top of the tower. If the wire is attached to the ground 30 feet from the bottom of the tower, then what angle does the wire make with the ground?

Answer 1

Answer:

77.23°

Step-by-step explanation:

Given that,

A 135.8 foot wire is attached to the top of the tower.

The wire is attached to the ground 30 feet from the bottom of the tower.

It means,

If we consider a triangle such that hypotenuse is 135.8 foot and base is 30 feet, it means we can use the trigonometry as follows :

$\cos\theta=\dfrac{B}{H}\\\\\cos\theta=\dfrac{30}{135.8}\\\\\theta=77.23^{\circ}$

So, the angle the wire make with the ground is equal to 77.23°.