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Chapter 8: Q. 20 (page 527)
In the given problem solve the triangle using the law of sines :
Required values of the triangle are
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The Original Ferris Wheel George Washington Gale Ferris, Jr., designed the original Ferris wheel for the 1893 World鈥檚 Columbian Exposition in Chicago, Illinois. The wheel had 36 equally spaced cars each the size of a school bus. The distance between adjacent cars was approximately 22 feet. Determine the diameter of the wheel to the nearest
foot.
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.]
Solve each triangle.
Area of an ASA Triangle If two angles and the included side are given, the third angle is easy to find. The area K of the triangle with side and angles A, B, and C is
Area of a triangle Prove the two other forms of the above formula.
and
Find the real solutions, if any, of the equation .
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