A crane is situated on the edge of a sheer cliff. It has a 12-foot arm that has an angle of 120 degrees as shown in the picture. A hook was dropped straight down to a metal buoy that must be pulled from the water. How far is the center of the buoy from the base of the cliff? 19 ft 120° 12 ft How high is the top end of the crane arm from the top of the 4 foot tall buoy?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 41E
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1. A crane is situated on the edge of a sheer cliff. It
has a 12-foot arm that has an angle of 120 degrees
as shown in the picture. A hook was dropped
straight down to a metal buoy that must be pulled
from the water.
How far is the center of the buoy from the base of
the cliff?
19 ft
120°
12 ft
How high is the top end of the crane arm from the top of the 4 foot tall buoy?
Transcribed Image Text:1. A crane is situated on the edge of a sheer cliff. It has a 12-foot arm that has an angle of 120 degrees as shown in the picture. A hook was dropped straight down to a metal buoy that must be pulled from the water. How far is the center of the buoy from the base of the cliff? 19 ft 120° 12 ft How high is the top end of the crane arm from the top of the 4 foot tall buoy?
1
45⁰
√√2
b. csc
1
a. sin 30º =
C. sın
45°
e.
π
3
3π
2
d. cos 270°
tan π
1).
f. sec(60°)
ndard
30⁰
√√3
and not quadrante
2
60⁰
1
angle
Ref
(-1,0)
(0,1)
4. Use the above triangles and unit circle to find the exact values of the following common
angles and quadrantal angles:
y
1
0
(0,-1)
(cos, sin 0)
(1,0)
you
X
01
2
Transcribed Image Text:1 45⁰ √√2 b. csc 1 a. sin 30º = C. sın 45° e. π 3 3π 2 d. cos 270° tan π 1). f. sec(60°) ndard 30⁰ √√3 and not quadrante 2 60⁰ 1 angle Ref (-1,0) (0,1) 4. Use the above triangles and unit circle to find the exact values of the following common angles and quadrantal angles: y 1 0 (0,-1) (cos, sin 0) (1,0) you X 01 2
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