Objective #4: Solve problems involving the relationship between a central angle of a circle and the length of its intercepted arc 1. Find the length of the arc on a circle of radius r = 15 inches intercepted by a central angle 0 = 120°. 2. Find the radian measure of the central angle of a circle of radius r = 80 kilometers that intercepts an arc of length s = 150 kilometers. 3. Use the given arc length and radius to find angle 0 (in radians). 28 8 7

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section: Chapter Questions
Problem 37CT
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3. Empire State Building You are standing 45 meters from the base of the Empire State Building. You estimate
that the angle of elevation to the top of the 86th floor (the observatory) is 82°. The total height of the building
is another 132 meters above the 86th floor. What is the approximate height of the building? One of your friends
is on the 86th floor. What is the distance between you and your friend?
4. Length A guy wire runs from the ground to a cell tower. The wire is attached to the cell tower 150 feet above
the ground. The angle formed between the wire and the ground is 43° (see figure).
0 = 43°
150ft
12--2---
(a) How long is the guy wire?
(b) How far from the base of the tower is the guy wire anchored to the ground?
Transcribed Image Text:3. Empire State Building You are standing 45 meters from the base of the Empire State Building. You estimate that the angle of elevation to the top of the 86th floor (the observatory) is 82°. The total height of the building is another 132 meters above the 86th floor. What is the approximate height of the building? One of your friends is on the 86th floor. What is the distance between you and your friend? 4. Length A guy wire runs from the ground to a cell tower. The wire is attached to the cell tower 150 feet above the ground. The angle formed between the wire and the ground is 43° (see figure). 0 = 43° 150ft 12--2--- (a) How long is the guy wire? (b) How far from the base of the tower is the guy wire anchored to the ground?
Objective #4: Solve problems involving the relationship between a central
angle of a circle and the length of its intercepted arc
1. Find the length of the arc on a circle of radius r= 15 inches intercepted by a central angle = 120°.
2. Find the radian measure of the central angle of a circle of radius r = 80 kilometers that intercepts an arc of length
s 150 kilometers.
3. Use the given arc length and radius to find angle (in radians).
28
Ө
7
Transcribed Image Text:Objective #4: Solve problems involving the relationship between a central angle of a circle and the length of its intercepted arc 1. Find the length of the arc on a circle of radius r= 15 inches intercepted by a central angle = 120°. 2. Find the radian measure of the central angle of a circle of radius r = 80 kilometers that intercepts an arc of length s 150 kilometers. 3. Use the given arc length and radius to find angle (in radians). 28 Ө 7
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