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

Solve the right triangle. Round decimal answers to the nearest tenth.-example-1
User Phong Vo
by
4.8k points

1 Answer

4 votes

Answer:

See solution below

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

User Sajidur Rahman
by
4.7k points