Chapter 8: Q. 4 (page 534)
If one side and two angles of a triangle are given, the Law of _______ is used to solve the triangle .
The solution is Sines.
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A state trooper is hidden 30 feet from a highway. One second after a truck passes, the angle between the highway and the line of observation from the patrol car to the truck is measured. See the illustration.
(a) If the angle measures 15ยฐ, how fast is the truck traveling? Express the answer in feet per second and in miles per hour.
(b) If the angle measures 20ยฐ, how fast is the truck traveling? Express the answer in feet per second and in miles per hour.
(c) If the speed limit is 55 miles per hour and a speeding ticket is issued for speeds of 5 miles per hour or more over the limit, for what angles should the trooper issue a ticket?
Solve each triangle.
Mollweideโs Formula For any triangle, Mollweideโs Formula (named after Karl Mollweide, 1774โ1825) states that
Derive it.
[Hint: Use the Law of Sines and then a Sum-to-Product Formula. Notice that this formula involves all six parts of a triangle. As a result, it is sometimes used to check the solution of a triangle.]
Find the real solutions, if any, of the equation .
Find an exact value of each expression, without using a calculator
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