Finding the missing side and angle

a. or 7.21

b. 35.68 degrees

Step-by-step explanation:

a. Use Pythagorean theorem and plug in 6 and 4 (6^2 + 4^2 = c^2)

This will give you 52 = c^2 and square root both sides to isolate c and get the hypotenuse.

b. Solve using sine (opposite/hypotenuse). This should give you sinθ=. But since you're solving for θ you need to isolate it by dividing by sin. So final equation is θ=sin^-1 *