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Chapter 8: Q. 56 (page 542)
State the formula for the area of an SAS triangle in words.
The area can be given as
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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?
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.
Rework Problem 7 under the same conditions except that, at time t = 0, the object is at its resting position and moving down.
Finding Distances A forest ranger is walking on a path inclined at 5° 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°. How far is the ranger from the tower at this time?
Find the area of the triangle. Round answer to two decimal places.
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