Question

A wire makes a 70 degrees angle with the ground and is attached to the top of a 50 ft. antenna. How long is the wire?

Answer 1

Answer:

53.2 ft

Step-by-step explanation:

A wire makes a 70 degrees angle with the ground and is attached to the top of a 50 ft. antenna. How long is the wire?

We solve the above question using the Trigonometric function of Sine

sin theta = Opposite/Hypotenuse

Theta = 70°

Hypotenuse = x = Length of the wire

Opposite = 50ft antenna

Hence,

sin 70 = 50/x

Cross Multiply

50 = sin 70 × x

x = 50/sin 70

x = 53.208888624 ft

Approximately x = 53.2 ft

The length of the wire is 53.2 ft