Question

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

In △ABC,b≈
, m∠A≈
∘, and m∠B≈
∘.

Answer 1

See answers below

Explanation:

Find the diagram attached

To get AB, use the pythagoras theorem;

AB² = 12² + 9²

AB² = 144 + 81

AB² = 225

AB = √225

AB = 15

Since

Hypotenuse = AB

sin <A = BC/AB

Sin <A = 12/15

Sin <A = 4/5

<A = arcsin(0.8)

<A = 53.13degrees

Sin <B = AC/AB

Sin<B = 9/15

Sin <B = 0.6

<B = arcsin(0.6)

<B = 36.87degrees