7. Non-Right Triangles

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



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



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

An engineer wants to measure the distance to cross a river. If $B=30\degree$, $a=300$$ft$, $C=100\degree$ find the shortest distance (in $ft$) you’d have to travel to cross the river.

Apply the law of sines to the following: a = √5, c = 2√5, A = 30°. What is the value of ​sin​ ​C​​? What is the measure​ of ​​​​C​​​? Based on it​​s angle measures, what kind of triangle is triangl​e ​​ABC​​​?

Fill in the blank(s) to correctly complete each sentence.

A triangle that is not a right triangle is a(n) _________ triangle.

Consider each case and determine whether there is sufficient information to solve the triangle using the law of sines.

Three sides are known.