Chapter 8: Q.4 (page 553)
Find an exact value of each expression, without using a calculator
The simplified value is
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Finding the Height of the Bridge over the Royal Gorge The highest bridge in the world is the bridge over the Royal Gorge of the Arkansas River in Colorado. Sightings to the
same point at water level directly under the bridge are taken from each side of the 880-foot-long bridge, as indicated in the figure. How high is the bridge?
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?
Determining the Height of an Aircraft Two sensors are spaced 700 feet apart along the approach to a small airport. When an aircraft is nearing the airport, the angle of elevation from the first sensor to the aircraft is 20°, and from the second sensor to the aircraft it is 15°. Determine how high the aircraft is at this time.
A 22-foot extension ladder leaning against a building makes a 70° angle with the ground. How far up the building does the ladder touch?
In the given problem solve the triangle using either the law of sines or law of cosines-
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