find the value of x. round to the nearest tenth. when the the inside is 35 degrees and the other angle is 90 the outside hypotenuse is 20 and x

To find the value of x when the inside angle is 35 degrees, the other angle is 90 degrees, and the outside hypotenuse is 20, we can use the trigonometric function cosine (cos).

In this case, we have the adjacent side (x) and the hypotenuse (20), and we want to find the value of x.

We can use the equation:
cos(angle) = adjacent/hypotenuse

Substituting the given values into the equation:
cos(35°) = x/20

Now, let's solve for x.

First, find the cosine of 35 degrees using a calculator or a trigonometric table:
cos(35°) ≈ 0.819

Now, substitute this value into the equation:
0.819 = x/20

Next, isolate x by multiplying both sides of the equation by 20:
0.819 * 20 = x

Simplifying the equation:
x ≈ 16.38

Therefore, rounded to the nearest tenth, the value of x is approximately 16.4.