Homework help, Tan, Cos ect

Question

1. From the top of a 229-ft lighthouse, the angle of depression to a ship in the ocean is 24 degrees How far is the ship from the base of the lighthouse?
2. To measure the height of the cloud cover at an airporta worker shines a spotlight upward at an angle of from the horizontal. An observer 553 m away measures the angle of elevation to the spot of light to be 42 degrees °. Find the height of the cloud cover. height = Report answer accurate to 2 decimal places.
3. A radio tower is located 375 feet from a buildingFrom window in the building a person determines that the angle of elevation to the top of the tower is 42 degrees and that the angle of depression to the bottom of the tower is 37 degrees tall is the tower? In Feet

Answer 1

tan(θ) = opposite/adjacent

tan(24°) = 229/x so x = 229/tan(24°) = 503.1 ft

The other problems are similar