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A marine surveyor uses a rangefinder and a compass to locate a ship and an island in the vicinity of the coast on which she stands. The rangefinder indicates that the island is 368

 

368 ft from her position and the ship is 553

 

553 ft from her position. Using the​ compass, she finds that the​ship's azimuth​ (the direction measured as an angle from​ north) is 323 degrees

 

323° and that of the island is 46 degrees

 

46°. What is the distance between the ship and the​ island?

Three figures labeled Ship, Island and Surveyor are connected by line segments forming a triangle. The side between Ship and Surveyor has length 553 feet and the side between Island and Surveyor has length 368 feet. A vertical dotted line segment extends upward from Surveyor to a point N. The angle between this line segment and the side between Island and surveyor measures 46 degrees and the angle between this line segment, rotating clockwise to the side between Ship and Surveyor measures 323 degrees.

 

323 degrees

 

323°

46 degrees

 

46°

Ship

 

Ship

 

Island

 

Island

 

Surveyor

 

Surveyor

553 ft

 

553 ft

 

368 ft

 

368 ft

Upper N

 

N

The distance between the ship and the island is

nothing

 

ft.

​(Round to the nearest foot as​ needed.)

SophiaPretty

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Status NEW Posted 11 Aug 2017 06:08 AM My Price 10.00

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