SOLUTION: From the top of a 250-foot lighthouse, a plane is sighted overhead and a ship is observed directly below the plane. The angle of elevation of the plane is 22degrees and the angle o

Question 22313: From the top of a 250-foot lighthouse, a plane is sighted overhead and a ship is observed directly below the plane. The angle of elevation of the plane is 22degrees and the angle of depression of the ship is 35degrees.
Find; A)the distance of the ship from the lighthouse
B)the plane's height above the water. Round to the nearest foot.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Draw the picture.
Distance of ship from base of lighthouse = 250'/Tan(35 degrees)
= 357.03...'
Plane's height above the water = 250'+(357.03...)(Tan(22 degrees))
= 250' + 144.25' = 394.25... ft.
Cheers,
Stan H.

RELATED QUESTIONS
From the top of a 250-ft lighthouse, the angle of depression to a ship in the ocean is... (answered by Theo)

the top of a lighthouse is 120 meters above sea level. the angle of depression from the... (answered by edjones)

a) As shown in the diagram, a ship at sea is sighted from the top of a 60-foot... (answered by stanbon)

From a ship 15.3 km away the bearing of the lighthouse is N52�50'W. The ship is sailing... (answered by Collinwilfixyouuprealnice)

a ship is sighted from two lighthouse that are 30 km apart on a shore. the angle at the... (answered by Alan3354)

From the top of a 210 ft lighthouse, the angle of depression to a ship in the ocean is 21 (answered by mananth)

From an airplane flying at an altitude of 1000m , the angle of depression to a ship is 60 (answered by stanbon,solver91311)

A ship is sighted from two lighthouses that are 30 km apart on a shore. The angle at the... (answered by addingup)

Hi from a lighthouse 70m above sea level a ship 1.2km out to sea is observed. What is... (answered by rothauserc,MathTherapy)