Question

A wrecking ball is suspended from a 3.0-m-long cable that makes a 35 ° angle with the vertical. The ball is released and swings down. What is the length of the cable?

1) 2.6 m
2) 3.0 m
3) 3.5 m
4) 4.2 m

Answer 1

The length of the cable is 3.60 m.

Step-by-step explanation:

To find the length of the cable, we can use trigonometry. The length of the cable is the hypotenuse of the right triangle formed by the cable and the vertical line. Using the given angle of 35 degrees and the length of 3.0 m, we can use the trigonometric function cosine to find the length of the cable:

Cable Length = 3.0 m / cos(35 degrees) = 3.60 m

Therefore, the length of the cable is 3.60 m, which is not one of the given options. So none of the provided options are correct.