Question

For each triangle shown below, determine whether you would use the Law of Sines or Law of Cosines to find angle x. Then find angle x to the nearest tenth.

A 90.1 by The Law of Sines (SAS)
B. 75.6 by The Law of Cosines (SAS)
C. 46.9 by The Law of Cosines (SSS)
D. 37.2 by The Law of Sines (SSA)

Answer 1

For the question above we can use the law of sine that states;

a/sinA = b/sinB = c/sinC
Where a is the opposite side of angle A
b is the opposite side of angle B
c is the opposite side of angle C

x/sin63 = 65/sin40

x = 65(sin63)/sin40

= 57.9154/0.6429
= 90.10

The answer is A) 90.1 by The Law of Sines (SAS)