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Chapter 8: Q. 9 (page 556)
Solve the triangle: for which side a is 20, side c is 15, and angle C is 40°.
The unknown values of the triangle are
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A state trooper is hidden 30 feet from a highway. One second after a truck passes, the angle between the highway and the line of observation from the patrol car to the truck is measured. See the illustration.
(a) If the angle measures 15°, how fast is the truck traveling? Express the answer in feet per second and in miles per hour.
(b) If the angle measures 20°, how fast is the truck traveling? Express the answer in feet per second and in miles per hour.
(c) If the speed limit is 55 miles per hour and a speeding ticket is issued for speeds of 5 miles per hour or more over the limit, for what angles should the trooper issue a ticket?
Find the area of the triangle. Round answer to two decimal places.
Cost of a Triangular Lot The dimensions of a triangular lot are 100 feet by 50 feet by 75 feet. If the price of such land is $3 per square foot, how much does the lot cost?
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?
Solve each triangle.
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