Amy is up in the lighthouse tower looking out at the ship. She knows the lighthouse (BC) is 12.5 m tall.She measures the angle of depression to be 130How far (AC) out to sea is the ship from the base of the tower?Round to the nearest 2 decimal places. (Put the numbers only in the box, do not enter any units.)

The angle of depression from the top of a lighthouse to the base of a boat out at sea is 10°. If the lighthouse is at the edge of land and is 82 meters tall, approximately how far out at sea is the boat?

An observer in a lighthouse is 45 meters above the surface of the water. The observer sighted two ships due east. The angle of depression to ship A is 51 degrees and the angle of depression to ship B is 24 degrees. Which ship is closer to the base of the lighthouse?

A boat is heading towards a lighthouse, whose beacon-light is 139 feet above the water. The boat’s crew measures the angle of elevation to the beacon, 5degrees ∘ . What is the ship’s horizontal distance from the lighthouse (and the shore)? Round your answer to the nearest hundredth of a foot if necessary.

Martha observed a boat from the top of a 74.5 m cliff. She noted that the angle of depression to the boat was 22.70How far is the boat from the base of the cliff ?Round to the nearest 2 decimal places. (Put the numbers only in the box, do not enter any units.)

A boat heading out to sea starts out at Point AA, at a horizontal distance of 734 feet from a lighthouse/the shore. From that point, the boat’s crew measures the angle of elevation to the lighthouse’s beacon-light from that point to be 14degrees ∘ . At some later time, the crew measures the angle of elevation from point BB to be 6degrees ∘ . Find the distance from point AA to point BB. Round your answer to the nearest foot if necessary.