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Lesson 7-1 Geometric Mean
Lesson 7-2 The Pythagorean Theorem and Its Converse
Lesson 7-3 Special Right Triangles
Lesson 7-4 Trigonometry
Lesson 7-5 Angles of Elevation and Depression
Lesson 7-6 The Law of Sines
Lesson 7-7 The Law of Cosines
Example 1 Angle of Elevation
Example 2 Angle of Depression
Example 3 Indirect Measurement
CIRCUS ACTS At the circus, a person in the audience
watches the high-wire routine. A 5-foot-6-inch tall
acrobat is standing on a platform that is 25 feet off the
ground. How far is the audience member from the
base of the platform, if the angle of elevation from the
audience member’s line of sight to the top of the
acrobat is
Make a drawing.
Since QR is 25 feet and RS is 5 feet 6 inches or 5.5 feet,
QS is 30.5 feet. Let x represent PQ.
Multiply both sides by x.
Divide both sides by tan
Simplify.
Answer: The audience member is about 60 feet
from the base of the platform.
DIVING At a diving competition, a 6-foot-tall diver
stands atop the 32-foot platform. The front edge of the
platform projects 5 feet beyond the ends of the pool.
The pool itself is 50 feet in length. A camera is set up
at the opposite end of the pool even with the pool’s
edge. If the camera is angled so that its line of sight
extends to the top of the diver’s head, what is the
camera’s angle of elevation to the nearest degree?
Answer: about
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