Using Trig Ratios to Find Missing Sides and Angles

In the right triangle below, angle $A = 40\degree$. If you know the hypotenuse and want to find the side opposite angle $A$, which trig ratio should you use?

Which equation correctly defines $\\tan(A)$ in a right triangle?

A right triangle has legs 3 and 4 and hypotenuse 5. Angle $A$ is the angle opposite the side of length 3.
What is $\\sin(A)$? Enter your answer as a fraction or decimal.

In a right triangle, angle $B = 52\degree$ and the side adjacent to $B$ measures 15. To find the side opposite $B$, which equation is correct?

A right triangle has angle $A = 35\degree$ and hypotenuse $= 20$. Find the length of the side opposite angle $A$. Round to the nearest hundredth.

A right triangle has angle $B = 60\degree$ and the side adjacent to $B$ measures 10. Find the hypotenuse.

A right triangle has angle $C = 45\degree$ and the side opposite to $C$ measures 9. Find the adjacent side.

In a right triangle, the side opposite angle $A$ measures 8 and the hypotenuse is 17. Use the inverse sine function to find angle $A$ to the nearest degree.