Trig Review Questions

Question

Calculate the area of a triangle when given 4cm, 11cm and 110 degrees.

In triangle XYZ, m<X=48 degrees, m<Y = 68 degrees and y =10. Find x.

Answer 1

A = (4)(11)(sin 100°)/ 2, assuming the angle is included.

Law of Sines

10 / sin 68° = x / sin 48°

Answer 2

This is apparently 2 questions, and the first question looks like it needs a drawing or more complete problem statement.

On the 2nd question, we can assume that side y is opposite angle Y, and side x is opposite angle X. The Law of Sines says that

sin X / x = sin Y / y

Cross-multiplying and solving for x, we have

x = (sin X * y) / sin Y

Plugging in values from the problem statement, we get

x = (sin(48) * 10) / sin(68)

x = 8.02 (approximate)