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Chapter 8: Q. 8 (page 555)
In Problems 6鈥�8, solve each triangle.
The missing values are.
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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 area of the triangle. Round answer to two decimal places.
Make up three problems involving oblique triangles. One should result in one triangle, the second in two triangles, and the third in no triangle.
Time Lost due to a Navigation Error In attempting to fly from city P to city Q, an aircraft followed a course that was 10掳 in error, as indicated in the figure. After flying a distance
of 50 miles, the pilot corrected the course by turning at point R and flying 70 miles farther. If the constant speed of the aircraft was 250 miles per hour, how much time was lost due
to the error?
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?
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