Find the distance along an arc on the surface of the earth that subtends a central angle of 2 minutes (1 minute = 1/60 degree). The radius of the earth is 3960 miles. Round to the thousandths.

The lifeguard stand is 10 ft high. A lifeguard is looking down at a swimmer in a swimming pool. Lifeguard’s line of sight forms  41 degree angle of depression. How far away is the swimmer from the base of the lifeguard stand? Round your answer to one decimal place.

Refer to the profile drawing for a hatch on a boat. If the height is 8 inches and the width is 41 inches, what is the radius of the hatch top, to the nearest tenth inch? height width

On a trip to the mountains, you wonder in seeing the first mountain how tall it is. You measure the angle of elevation to be 3.5°. After driving 13 miles closer to the mountain, you measure the angle of elevation again which is now 9°. Approximate the height of the mountain. Explain how you got your answer.