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Chapter 8: Q.28 (page 553)
Finding the Width of a River Find the distance from A to
C across the river is illustrated in the figure.
The Width of a River is
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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°E; the call to Station Baker indicates that the ship is located S60°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?
If three sides of a triangle are given, the Law of _________ is used to solve the triangle.
Finding the Length of a Ski Lift Consult the figure. To find the length of the span of a proposed ski lift from P to Q, a surveyor measures DPQ to be 25° and then walks off a
distance of 1000 feet to R and measures PRQ to be 15°. What is the distance from P to Q?
Law of Tangents For any triangle, derive the Law of Tangents.
Construction A loading ramp 10 feet long that makes an angle of 18° with the horizontal is to be replaced by one that makes an angle of 12° with the horizontal. How long is the
new ramp?
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