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.

rounding to the nearest thousandth would be 452,000

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.