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Chapter 8: Q. 33 (page 535)
Solve each triangle using either the Law of Sines or the Law of Cosines
The required triangle is
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Crankshafts on Cars On a certain automobile, the crankshaft is 3 inches long and the connecting rod is 9 inches long (see the figure). At the time when OPQ is 15掳, how
far is the piston (P) from the center (O) of the crankshaft?
Rescue at Sea Coast Guard Station Able is located 150 miles due south of Station Baker. A ship at sea sends an SOS call that is received by each station. The call to Station Able indicates that the ship is located N55掳E; the call to Station Baker indicates that the ship is located S60掳E.
(a) How far is each station from the ship?
(b) If a helicopter capable of flying 200 miles per hour is dispatched from the station nearest the ship, how long will it take to reach the ship?
Calculating Distances at Sea The navigator of a ship at sea spots two lighthouses that she knows to be 3 miles apart along a straight seashore. She determines that the angles formed between two line-of-sight observations of the lighthouses and the line from the ship directly to shore are 15掳 and 35掳. See the illustration.
(a) How far is the ship from lighthouse P?
(b) How far is the ship from lighthouse Q?
(c) How far is the ship from shore?
Find the real solutions, if any, of the equation .
A 22-foot extension ladder leaning against a building makes a 70掳 angle with the ground. How far up the building does the ladder touch?
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