Question

Please solve the right triangle below. Round the decimals to the nearest tenth.

1. AB=
2. m∠A≈
3. m∠B≈
(Note: Both #2 and #3's answers are degrees)

What are the correct answers for 1,2, and 3?

Please show all the work on how you got your answers.

Answer 1

Find $AB$ using Pythagorean Theorem,

$AB=\sqrt{12^2+9^2}=15$.

$A=\tan^{-1}(12/9)=53.1^{\circ}$.

$B=\tan^{-1}(9/12)=36.9^{\circ}$.

Hope this helps.