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.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter4: Quadrilaterals
Section4.3: The Rectangle, Square, And Rhombus
Problem 42E: a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three...
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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)
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