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Chapter 8: Q. 12 (page 540)
Find the area of each triangle. Round answers to two decimal places
The area of the triangle is
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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掳 and the angle of elevation to the moon for Alice was 49.9312掳. See the figure. To the nearest 1000 km, how far was the moon from Earth when
the measurement was obtained?
Construction A loading ramp 10 feet long that makes an angle of 18掳 with the horizontal is to be replaced by one that makes an angle of 12掳 with the horizontal. How long is the
new ramp?
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?
Area of a Segment Find the area of the segment of a circle whose radius is 5 inches, formed by a central angle of .
The amplitude A and period T of are ____ and ____ .
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