7. Applications of Trigonometry

Use the Law of Sines to find the angle $B$ to the nearest tenth of a degree.

An engineer wants to measure the distance to cross a river. If $B=30°$, ,$C=100°$ find the shortest distance (in $\mathrm{ft}$) you’d have to travel to cross the river.

Classify the triangle, then solve: $A=60°,B=15°,c=6$.

Use the Law of Sines to find the length of side $a$ to two decimal places.