Question

A 7676 foot guy wire is attached to the top of an antenna. The angle between the guy wire and the ground is 68o68o. How tall (in feet) is the antenna

Answer 1

70.47feet

Explanation:

CHECK THE ATTACHMENT FOR THE INTERPRETATION OF THE QUESTION USING A FIQURE

From the attachment we can see that a triangle was formed, where the

OPPOSITE SIDE= X

HYPOTENUSE=76feet

From trigonometry,

Sin(θ)=opposite/Hypotenuse

Sin(68)= X/76

Cross multiply, we have,

X= Sin(68) × 76

X= 0.9272 × 76

X= 70.47feet

Therefore, the antenna is 70.47feet tall.