Answer:
B
Step-by-step explanation:
This is a right triangle as shown by the right angle.
- The side opposite the right angle is the hypotenuse, which is 9.
- The side opposite angle A is 3.
So we have the opposite of A and the hypotenuse.
The trigonometric ratio that relates opposite side to hypotenuse is SINE.
[tex]sin\theta=\frac{opposite}{hypotenuse}[/tex]
Since, we need angle A, [tex]\theta[/tex] is A, opposite side is 3, and hypotenuse is 9, we substitute:
[tex]sinA=\frac{3}{9}\\sinA=\frac{1}{3}[/tex]
To solve for the angle, we use our calculator and find the inverse sin of [tex]\frac{1}{3}[/tex] :
[tex]A=sin^{-1}(\frac{1}{3})\\A=19.47[/tex]
Rounding to nearest tenth of a degree:
[tex]A=19.5[/tex]
B is the right choice.
