MATHS IN ACTION REVIEW 1. Louis is a firefighter. He regularly takes the helicopter to check for fires or to help people in difficulty. Today, he heads out from the base in a direction of \( 290^{\circ} \). Mark that heading on the diagram. In which direction is he heading (north, northeast, east, southeast, south, southwest, west, or northwest)?

\( m \angle \mathrm{C}=84^{\circ}, m \angle \mathrm{~B}=23^{\circ}, c=11 \) Find \( b \).

r, \( \tan 31^{\circ} \)

47)In \( \triangle X Y Z, y^{2}+z^{2}-x^{2}=2 y z x \ldots \ldots . . . . . . . . . . \). \( \begin{array}{llll}\text { a) } \cos X & \sin Z & \text { c) } \sin C & \text { d) }-\sin C\end{array} \) If \( A(0,1), B(3,4), C(1,3) \) are the vertices 0 f a triangle, then \( \cos \) \( (<A C B)=\ldots . \). \( \begin{array}{llll}\text { a) } \frac{4}{5} & \text { b ) } \frac{-4}{5} & \text { c) } \frac{3}{5} & \text { d) } \frac{-3}{5}\end{array} \)

\( m \angle \mathrm{C}=84^{\circ}, m \angle \mathrm{~B}=23^{\circ}, c=11 \) Find \( b \).

Question 1 (2 points) Suppose that \( \theta=\arcsin (1 / 7) \). What is \( \sin (2 \theta) \) ? (round to 4 decimals) Your Answer: