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Chapter 8: Q. 5 (page 527)
For a triangle with sides and opposite angles , the Law of Sines states that ________ .
The solution is.
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The displacement d (in meters) of an object at time t (in seconds) is given
(a) Describe the motion of the object.
(b) What is the maximum displacement from its resting position?
(c) What is the time required for one oscillation?
(d) What is the frequency?
In the given problem solve the triangle using either the law of sines or law of cosines-
Area of a Segment Find the area of the segment (shaded in blue in the figure) of a circle whose radius is 8 feet, formed by a central angle of .
[Hint: Subtract the area of the triangle from the area of the sector to obtain the area of the segment.]
The displacement d (in meters) of an object at time t (in seconds) is given
(a) Describe the motion of the object.
(b) What is the maximum displacement from its resting position?
(c) What is the time required for one oscillation?
(d) What is the frequency?
A laser beam is to be directed through a small hole in the center of a circle of radius 10 feet. The origin of the beam is 35 feet from the circle (see the figure). At what angle of elevation should the beam be aimed to ensure that it goes through the hole?
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