Algebra and Trigonometry, 5th Edition

Chapter Test

Solve $\text{Δ}ABC$, if possible.

1. 1. $a=18\text{ ft},B=54°$, $C=43°$

2. 2. $b=8\text{ m}$, $c=5\text{ m}$, $C=36°$

3. 3. $a=16.1\text{ in}.$, $b=9.8\text{ in}.$, $c=11.2\text{ in}$.

4. 4. Find the area of $\text{Δ}ABC$ if $C=106.4°$, $a=7\text{ cm}$, and $b=13\text{ cm}$.

5. 5. Distance Across a Lake. Points A and B are on opposite sides of a lake. Point C is 52 m from A. The measure of $\angle BAC$ is determined to be $108°$, and the measure of $\angle ACB$ is determined to be $44°$. What is the distance from A to B?

6. 6. Location of Airplanes. Two airplanes leave an airport at the same time. The first flies $210\text{ km/h}$ in a direction of $290°$. The second flies $180\text{ km/h}$ in a direction of $185°$. After 3 hr, how far apart are the planes?

7. 7. Graph:$-4+i$.

8. 8. Find the absolute value of $2-3i$.

9. 9. Find trigonometric notation for $3-3i$.

10. 10. Divide ...