Chapter 8: Q.23 (page 553)
Find the area of each triangle.
Short Answer
The required area of the triangle is
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Chapter 8: Q.23 (page 553)
Find the area of each triangle.
The required area of the triangle is
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Find the area of the triangle. Round answer to two decimal places.
Mollweide’s Formula For any triangle, Mollweide’s Formula (named after Karl Mollweide, 1774–1825) states that
Derive it.
[Hint: Use the Law of Sines and then a Sum-to-Product Formula. Notice that this formula involves all six parts of a triangle. As a result, it is sometimes used to check the solution of a triangle.]
Solve each triangle.
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?
A person in a small boat, offshore from a vertical cliff known to be feet in height, takes a sighting of the top of the cliff. If the angle of elevation is found to be, how far offshore is the boat?
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