CHAPTER 9 PRACTICE TEST

As a study aid, we have included complete solutions for each Practice Test problem at the end of this book.

In all triangle solutions, sides a, b, c, are opposite angles A, B, C, respectively.

By use of a diagram, find the vector sum $2 A + B$ $2 A + B$ for the given vectors.
For the triangle in which $a = 22.5, B = 78.6 °,$ $a = 22.5, B = 78.6 °,$ and $c = 30.9,$ $c = 30.9,$ find b.
A surveyor locates a tree 36.50 m to the northeast of a set position. The tree is 21.38 m north of a utility pole. What is the displacement of the utility pole from the set position?
For the triangle in which $A = 18.9 °, B = 104.2 °,$ $A = 18.9 °, B = 104.2 °,$ and $a = 426,$ $a = 426,$ find c.
Solve the triangle in which $a = 9.84, b = 3.29,$ $a = 9.84, b = 3.29,$ and $c = 8.44.$ $c = 8.44.$
For vector R, find R and standard position $θ$ $θ$ if $R_{x} = - 235$ $R_{x} = - 235$ and $R_{y} = 152.$ $R_{y} = 152.$
Find the horizontal and vertical components of a force of 871 kN that is directed at a standard-position angle of $284.3 °$ $284.3 °$ .
A ship leaves a port and travels due west. At a certain point it turns $31.5 °$ $31.5 °$ north of west and travels an additional 42.0 mi to a point 63.0 mi on a direct line from the port. How far from the port is the point where the ship turned?
Find the sum of the vectors for which $A = 449, θ_{A} = 74.2 °, B = 285,$ $A = 449, θ_{A} = 74.2 °, B = 285,$ and $θ_{B} = 208.9 °$ $θ_{B} = 208.9 °$ by using components.
Solve the triangle for which $a = 22.3, b = 29.6,$ $a = 22.3, b = 29.6,$ and $A = 36.5 ° .$ $A = 36.5 ° .$
Assuming the vectors in Fig. 9.93 are in equilibrium, find $T_{1}$ $T_{1}$ and $T_{2} .$ $T_{2} .$

Fig. 9.93

..................Content has been hidden....................

You can't read the all page of ebook, please click here login for view all page.

Table of Contents for CHAPTER 9 PRACTICE TEST