Chapter 8: Q. 8 (page 534)
A special case of the Law of Cosines is the Pythagorean theorem.
The solution is true.
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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?
Given two sides and the included angle, the first thing to do to solve the triangle is to use the Law of Sines .
Determining the Height of an Aircraft Two sensors are spaced 700 feet apart along the approach to a small airport. When an aircraft is nearing the airport, the angle of elevation from the first sensor to the aircraft is 20°, and from the second sensor to the aircraft it is 15°. Determine how high the aircraft is at this time.
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.]
Mollweide’s Formula Another form of Mollweide’s Formula is
Derive it.
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