Question

solve for x. Round to the nearest tenth of a degree, if necessary. the adjacent side is 54 the opposite side is 44 the angle is x

Answer 1

To solve for the angle \( x \) where the adjacent side is 54 and the opposite side is 44, you can use the tangent function, which relates the opposite side to the adjacent side in a right triangle. The formula is:

\[
\tan(x) = \frac{\text{opposite}}{\text{adjacent}} = \frac{44}{54}
\]

Now, calculate the tangent:

\[
\tan(x) = \frac{44}{54} \approx 0.8148
\]

Next, to find the angle \( x \), use the arctangent function (inverse tangent):

\[
x = \tan^{-1}(0.8148)
\]

Using a calculator to find \( x \):

\[
x \approx 39.7^\circ
\]

Rounding to the nearest tenth of a degree:

\[
x \approx 39.7^\circ
\]

Therefore, the angle \( x \) is approximately \( 39.7^\circ \).