Question

Solve the right triangle. Round decimal answers to the nearest tenth.

Answer 1

Answer:

See solution below

Step-by-step explanation:

According to pythagoras theorem

hyp^2 = opp^2 + adj^2

10^2 = 4^2 + b^2

100 = 16 + b^2

b^2 = 100-16

b^2 = 84

b = √84

b ≈ 9

Using SOH CHA TOA identity

sin B = AC/AB

Sin B = 9/10

B = arcsin0.9

B ≈ 64degrees

sinA = BC/AB

Sin A = 4/10

A = arcsin0.4

A ≈ 24degrees