Finding the missing side and angle

Answer:
a. [tex]\sqrt{52}[/tex] 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=[tex]\frac{7}{12}[/tex]. But since you're solving for θ you need to isolate it by dividing by sin. So final equation is θ=sin^-1 * [tex]\frac{7}{12}[/tex]