Find the value of x, round your answer to the nearest tenth.

Step-by-step explanation:

Since we are given a right triangle, we can use the trigonometric ratios.

We have the angle 24 and the sides 9 and x. 9 is the hypotenuse because it's opposite the right angle. x is the opposite, because it as across from the 24 degree angle. So, we have:

Therefore, we must use sine.

We are trying to solve for the value of x, so we must isolate the variable. x is being divided by 9. The inverse of division is multiplication. Multiply both sides by 9.

Round to the nearest tenth. The 6 in the hundredth place tells us to round the 6 to a 7.

x is approximately 3.7