CD is a light house of height h, from where adjudicators observe a race between sailboats. A and B are two buoys which lie on a route to be followed by the sailboats. From D the angle of depression to A is B and CÂB = 0 = . D is 5.76 meters above the water level, AB = x and BC = y. 4.1 If x = 30 m and y 25 m, determine sin(ACB) Enter answer in root form Enter answer in decimal form (for continuous marking purposes only-not graded) 4.2 Determine ACB, given that ACB is obtuse. 4.3 If the angle of depression from the top of the lighthouse D to A is B = ", determine the distance between buoy A and the tower.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
icon
Related questions
Question
CD is a light house of height h, from
where adjudicators observe a race
between sailboats.
A and B are two .buoys which lie on a
route to be followed by the sailboats.
From D the angle of depression to A is
B and CAB = 0 = =
|3D
4
D is 5.76 meters above the water level,
AB = x and BC = y.
4.1 If x = 30 m and y= 25 m, determine sin(ACB)
Enter answer in root form
Enter answer in decimal form
(for continuous marking purposes only- not graded)
4.2 Determine ACB, given that ACB is obtuse.
4.3 If the angle of depression from the top of the lighthouse D to A is ß = , determine the distance between buoy A and the
tower.
Transcribed Image Text:CD is a light house of height h, from where adjudicators observe a race between sailboats. A and B are two .buoys which lie on a route to be followed by the sailboats. From D the angle of depression to A is B and CAB = 0 = = |3D 4 D is 5.76 meters above the water level, AB = x and BC = y. 4.1 If x = 30 m and y= 25 m, determine sin(ACB) Enter answer in root form Enter answer in decimal form (for continuous marking purposes only- not graded) 4.2 Determine ACB, given that ACB is obtuse. 4.3 If the angle of depression from the top of the lighthouse D to A is ß = , determine the distance between buoy A and the tower.
The hook supports two
cables F and F2 at angles
0 and o as shown in the
figure.
The resultant of these forces
is vertically downwards and
F1
has a magnitude of 3000 N.
5.1 Write down the resultant of the forces in vector form (x, y).
5.2 Determine the magnitude of the force in F2, given that
0 = and o = , using either vectors, or trigonometry.
4
(units)
Transcribed Image Text:The hook supports two cables F and F2 at angles 0 and o as shown in the figure. The resultant of these forces is vertically downwards and F1 has a magnitude of 3000 N. 5.1 Write down the resultant of the forces in vector form (x, y). 5.2 Determine the magnitude of the force in F2, given that 0 = and o = , using either vectors, or trigonometry. 4 (units)
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
Trigonometry (11th Edition)
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra and Trigonometry
Algebra and Trigonometry
Trigonometry
ISBN:
9781938168376
Author:
Jay Abramson
Publisher:
OpenStax
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning