Physics
posted by Kabe .
A lighthouse that rises h = 50 ft above the surface of the water sits on a rocky cliff that extends 19 ft from its base, as shown in the figure. A sailor on the deck of a ship sights the top of the lighthouse at an angle of θ = 28.0° above the horizontal. If the sailor's eye level is 14 ft above the water, how far is the ship from the rocks?

horizonal distance total=rock distance+19ft
height up to top= 5014
Tan28=heightuptoTop/horizontal distance
tan28deg=(36/(d+14))
solve for d
Respond to this Question
Similar Questions

Algebra
Sorry for asking another question, but I don't know how to set this problem up. Ship A is due west of a lighthouse. Ship B is 12 km south of ship A. From ship B the bearing to the lighthouse is N63E. How far is ship A from the lighthouse? 
trig
The captain of a ship at sea sights a lighthouse which is 280 feet tall. The captain measures the the angle of elevation to the top of the lighthouse to be 25. How far is the ship from the base of the lighthouse? 
trigonometry
A lighthouse BC of unknown height stands on the edge of a cliff AB. From a point O, 2500 ft from the base of the cliff, an observer measures the angles of elevation of the top and bottom of the lighthouse and finds them to be 15°40' … 
Calculus
The captain of a ship at sea sights a lighthouse which is 260 feet tall. The captain measures the the angle of elevation to the top of the lighthouse to be 21. How far is the ship from the base of the lighthouse? 
physics
A lighthouse that rises 46.0 ft above the surface of the water sits on a rocky cliff that extends 19 ft out into the ocean from the base of the lighthouse. A sailor on the forward deck of a ship sights the top of the lighthouse at … 
Physics
A sailor climbs to the top of the mast, 12.55 m above the deck, to look for land while his ship moves steadily forward through calm waters at 4.63 m/s. Unfortunately, he drops his spyglass to the deck below. Where does it land with … 
physics
A lighthouse that rises h1 = 47.0 ft above the surface of the water sits on a rocky cliff that extends d = 17.4 ft from its base, as shown in the figure below. A sailor on the deck of a ship sights the top of the lighthouse at an angle … 
trig
a sailor on a boat 580 metres from the base of a vertical cliff sights the top of a lighthouse with an angel of elevation of 31 degrees 
physics
A lighthouse that rises 49 ft above the surface of the water sits on a rocky cliff that extends 19 ft from its base. A sailor on the deck of a ship sights the top of the lighthouse at an angle of 30.0 ∘ above the horizontal. … 
Geometry
There is a flagpole in the school parking lot. Which of the following is true about the angle of depression from the top of the flagpole to the parking lot, and the angle of elevation from the parking lot to the top of the flagpole?