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Chapter 8: Q. 10 (page 540)
Find the area of each triangle. Round answers to two decimal places
The area of the triangle is sq. units
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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° and 35°. 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?
Circumscribing a TriangleShow that
where is the radius of the circle circumscribing the triangle PQR whose sides are a, b, and c, as shown in the figure.
In the given problem solve the triangle using either the law of sines or law of cosines-
Solve each triangle.
Distance to the Moon At exactly the same time, Tom and Alice measured the angle of elevation to the moon while standing exactly 300 km apart. The angle of elevation to
the moon for Tom was 49.8974° and the angle of elevation to the moon for Alice was 49.9312°. See the figure. To the nearest 1000 km, how far was the moon from Earth when
the measurement was obtained?
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