Question

Solve for x. Round to the nearest tenth, if necessary. the hypotenuse is 6 the opposite side is 3.3 and the angle is x. i got 33.4 iss that correct?

Answer 1

To solve for the angle \(x\) in a right triangle where the hypotenuse is 6 and the opposite side is 3.3, you can use the sine function:

\[
\sin(x) = \frac{\text{opposite}}{\text{hypotenuse}}
\]

Substituting in the values:

\[
\sin(x) = \frac{3.3}{6}
\]

Calculating that, you get:

\[
\sin(x) = 0.55
\]

Now, to find \(x\), you take the inverse sine (arcsin) of 0.55:

\[
x = \arcsin(0.55)
\]

Using a calculator:

\[
x \approx 33.5 \text{ degrees}
\]

Rounded to the nearest tenth, the answer is \(33.5\) degrees, not \(33.4\). Therefore, \(33.5\) is the correct value for \(x\).