Question

Find the value of x. Right triangle: Hypotenuse is 11, base is x, angle is 22 degrees.

Answer 1

We know that the trigonometric identity that uses the adjacent side and the hypotenuse is cosine. We can set this up as:
$cos(22) = \frac{x}{11}$

We need to solve for x, so let's isolate it:
$x = 11cos(22) = 10.2$

So, x = 10.2 units