\cos\left(32\right)=\frac{15}{x}

Answer 1

To find the value of x, we can start by isolating x on one side of the equation:

\cos(32) = \frac{15}{x}

First, we need to find the cosine of 32 degrees. Using a calculator, cos(32) ≈ 0.8480.

Now the equation becomes:

0.8480 = \frac{15}{x}

To solve for x, we can multiply both sides of the equation by x to get rid of the fraction:

x * 0.8480 = 15

x = \frac{15}{0.8480} ≈ 17.7

Therefore, x ≈ 17.7.