Chapter 8: Q. 10 (page 555)
Find the area of the triangle described in Problem 5.
Short Answer
The area of the triangle issquare units.
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Chapter 8: Q. 10 (page 555)
Find the area of the triangle described in Problem 5.
The area of the triangle issquare units.
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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?
An object of mass m (in grams) attached to a coiled spring with damping factor b (in grams per second) is pulled down a distance a (in centimeters) from its rest position and then released. Assume that the positive direction of the motion is up and the period is T (in seconds) under simple harmonic motion.
(a) Develop a model that relates the distance d of the object from its rest position after t seconds.
(b) Graph the equation found in part (a) for 5 oscillations using a graphing utility.
Given values:
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?
The displacement d (in meters) of an object at time t (in seconds) is given
(a) Describe the motion of the object.
(b) What is the maximum displacement from its resting position?
(c) What is the time required for one oscillation?
(d) What is the frequency?
Solve each triangle.
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