91Ó°ÊÓ

Solve each of the following triangles. $$ a=4.38 \mathrm{ft}, b=3.79 \mathrm{ft}, c=5.22 \mathrm{ft} $$

Find the angle \(\theta\) between the given vectors to the nearest tenth of a degree. \(\mathbf{U}=11 \mathbf{i}+7 \mathbf{j}, \mathbf{V}=-4 \mathbf{i}+6 \mathbf{j}\)

The following information refers to triangle \(A B C\). In each case, find all the missing parts.\(B=14^{\circ} 20^{\prime}, C=75^{\circ} 40^{\prime}, b=2.72 \mathrm{ft}\)

Draw the vector \(\mathbf{V}\) that goes from the origin to the given point. Then write \(\mathbf{V}\) in terms of the unit vectors \(\mathbf{i}\) and \(\mathbf{j}\). $$(-5,-1)$$

Solve each of the following triangles. $$ a=832 \mathrm{ft}, b=623 \mathrm{ft}, c=345 \mathrm{ft} $$

Each of the following problems refers to triangle \(A B C\). In each case, find the area of the triangle. Round to three significant digits. $$ a=48 \mathrm{yd}, b=75 \mathrm{yd}, c=63 \mathrm{yd} $$

Find the magnitude of each of the following vectors. $$\langle-5,6\rangle$$

Show that each pair of vectors is perpendicular. \(\mathbf{i}\) and \(\mathbf{j}\)

The following information refers to triangle \(A B C\). In each case, find all the missing parts.\(B=13.4^{\circ}, C=24.8^{\circ}, a=315 \mathrm{~cm}\)

Each of the following problems refers to triangle \(A B C\). In each case, find the area of the triangle. Round to three significant digits. $$ a=4.38 \mathrm{ft}, b=3.79 \mathrm{ft}, c=5.22 \mathrm{ft} $$