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.

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°.

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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.

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)

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