Avertical pole 40 feet tall stands on a hillside that makes an angle of 17o with the horizontal. determine the approximate length of cable that would be needed to reach from the top of the pole to a point 72 feet downhill from the base of the pole. round answer to four decimal places.

The approximate length of cable that would be needed to reach from the top of the pole to a point 72 feet downhill from the base of the pole is 110.8706 feet.

Explanation:

It is given that the height of pole is 40 feet and the angle with the horizontal is 17 degree. The point is 72 feet downhill from the base of the pole.

Draw the diagram as shown below.

The angle BAC and the given angle are supplementary angles. So,

From the figure the sides are b = 40 feet and c = 72 feet. The .

According to Cosine Rule

Therefore, the length of cable is approximately 110.8706 feet.

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.