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Chapter 8: Q. 23 (page 541)
Find the area of a triangle whose sides are
Required area of the 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?
Landscaping Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall on a nearby fence. The angle of elevation of the tree from one
position on a flat path from the tree is 30掳, and from a second position 40 feet farther along this path it is 20掳. What is the height of the tree?
Find the distance from A to C across the pond illustrated in the figure.
A special case of the Law of Cosines is the Pythagorean theorem.
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?
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