Answer:
62.2°
Explanation:
If a wire used to stabilize something is 115 feet long runs from
the top of a radio tower to a point on the ground 50 feet from the tower's base, then;
The set up will form a right angle triangle as shown
The Adjacent side = The base of the tower = 50 feet
The hypotenuse = length of the wire = 115feet
The Height of the tower = Opposite side of the set up.
theta = angle that the wire make with the ground
Using the SOH CAH TOA trigonometry Identity:
According to CAH;
Cos(theta) = Adjacent/Hypotenuse
Cos(theta) = 50/115
Cos theta = 0.435
theta = arccos 0.435
theta = 62.2°