The lighthouse stands 10 meters tall.Boat A is directly south of the lighthouse.The angle of depression from the lighthouse's top to Boat A is 30°.Boat B is 20 meters north and 20 meters east of the lighthouse.An island creates a 130° angle between Boat A and Boat B.The angle at Boat B between Boat A and the island is 30°.

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?

Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30deg and 45deg respectively. If the lighthouse is 100 m high, the distance between the two ships is:

A yacht is anchored 90 feet offshore from the base of a lighthouse.  The angle of elevation from the boat to the top of the lighthouse is 26 degrees.  The distance between the yacht and the top of the lighthouse is about 100 feet.  Calculate the height of the lighthouse? (Round your answer to the nearest whole number.)

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.