Answer:
sin theta = 4 sqrt(2) / 9
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp/ hypotenuse
We need to find the opposite side using Pythagorean theorem
a^2 + b^2 = c^2
b^2 = c^2 - a^2
b = sqrt( c^2 - a^2)
b = sqrt(9^2 - 7^2) = sqrt(32) = 4 sqrt(2)
sin theta =b/c
sin theta = 4 sqrt(2) / 9
