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Chapter 8: Q. 35 (page 535)
Solve each triangle using either the Law of Sines or the Law of Cosines
The required triangle is
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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?
Law of Tangents For any triangle, derive the Law of Tangents.
an object attached to a coiled spring is pulled down a distance a from its rest position and then released. Assuming that the motion is simple harmonic with period T, write an equation that relates the displacement d of the object from its rest position after t seconds. Also assume that the positive direction of the motion is up:
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?
Finding the Height of an Airplane An aircraft is spotted by two observers who are 1000 feet apart. As the airplane passes over the line joining them, each observer takes a
sighting of the angle of elevation to the plane, as indicated in the figure. How high is the airplane?
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