Problem 1
When you are given three sides of a triangle, you use the Law of _____ to find the three angles of the triangle.
Problem 4
The Law of Cosines can be used to establish a formula for finding the area of a triangle called _____ _____ Formula.
Problem 6
The directed line segment whose initial point is the origin is said to be in________
Problem 8
The two basic vector operations are scalar___________and vector_________
Problem 31
In Exercises 25-34, use the Law of Sines to solve (if possible) the triangle. If two solutions exist, find both. Round your answers to two decimal places. $$A=120^{\circ}, \quad a=b=25$$c
Problem 34
In Exercises 25-34, use the Law of Sines to solve (if possible) the triangle. If two solutions exist, find both. Round your answers to two decimal places. $$A=25^{\circ} 4^{\prime} ; \quad a=9.5, \quad b=22$$
Problem 46
Navigation A plane flies 810 miles from Franklin to Centerville with a bearing of \(75^{\circ} .\) Then it flies 648 miles from Centerville to Rosemount with a bearing of \(32^{\circ} .\) Draw a figure that visually represents the situation. Then find the straight-line distance and bearing from Franklin to Rosemount.
Problem 53
Baseball On a baseball diamond with 90 -foot sides, the pitcher's mound is 60.5 feet from home plate. How far is it from the pitcher's mound to third base?
Problem 54
Writing a Linear Combination of Unit Vectors Exercises \(53-56\) , the initial and terminal points of a vector are given. Write the vector as a linear combination \(\begin{array}{ll}{\text { Initial Point }} & {\text { Terminal Point }} \\\ {(0,-2)} & {(3,6)}\end{array}\)
Problem 58
Geometry A parking lot has the shape of a parallelogram (see figure). The lengths of two adjacent sides are 70 meters and 100 meters. The angle between the two sides is \(70^{\circ} .\) What is the area of the parking lot?