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Chapter 8: Q. 40 (page 535)
In the given problem solve the triangle using either the law of sines or law of cosines-
Required values of the triangle are
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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?
Finding Distances A forest ranger is walking on a path inclined at 5掳 to the horizontal directly toward a 100-foottall fire observation tower. The angle of elevation from the
path to the top of the tower is 40掳. How far is the ranger from the tower at this time?
an object attached to a coiled spring is pulled down a distance a from its rest position and then released. Assuming that the motion is simple harmonic with period T, write an equation that relates the displacement d of the object from its rest position after t seconds. Also assume that the positive direction of the motion is up:
Area of an ASA Triangle If two angles and the included side are given, the third angle is easy to find. The area K of the triangle with side and angles A, B, and C is
Area of a triangle Prove the two other forms of the above formula.
and
Find the area of the triangle. Round answer to two decimal places.
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