Question

A support cable runs from the top of a 66-meter television transmitter tower to the ground. The wire makes a 68° angle with the ground. Find the length of the wire.

A. 33 meters
B. 44 meters
C. 55 meters
D. 66 meters

Answer 1

Using the cosine function, the length of the wire is calculated to be approximately 152 meters. However, this answer does not match any of the given options, suggesting there may be an error in the question or the provided choices.

Step-by-step explanation:

To find the length of the wire, we need to use trigonometric functions. The problem describes a right triangle where the tower is one side, the ground is the other, and the wire is the hypotenuse. The angle given is between the ground and the hypotenuse. We can use the cosine function, which is adjacent over hypotenuse, to find the length of the wire.

Cos(68°) = adjacent (66 meters) / hypotenuse (length of the wire).

So, hypotenuse = 66 meters / Cos(68°).

When you calculate this, you will find that the length of the wire comes out to be approximately 152 meters, which is not among the given options. Therefore, there might be an error in either the question or the options provided.