Chapter 8: Q. 1 (page 540)
The area of a triangle, whose base is and whose height is is ________.
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What do you do first if you are asked to solve a triangle and are given one side and two angles?
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?
Venus The distance from the Sun to Earth is approximately 149,600,000 km. The distance from the Sun to Venus is approximately 108,200,000 km. The elongation angle is the angle formed between the line of sight from Earth to the Sun and the line of sight from Earth to Venus. Suppose that the elongation angle for Venus is 10°. Use this information
to find the possible distances between Earth and Venus.
A laser beam is to be directed through a small hole in the center of a circle of radius 10 feet. The origin of the beam is 35 feet from the circle (see the figure). At what angle of elevation should the beam be aimed to ensure that it goes through the hole?
Find the distance from A to C across the gorge illustrated in the figure.
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