Question

If t = 18 and r = 12, find S. Round to the nearest tenth.

Answer 1

13.4 or √180

Explanation:

Pythagorean theorem states

a² + b² = c²

C^2 is the longest side. The corner of the right angle points to it. The other sides are your a and b squared. They are called the legs or Opposite and Adjacent sides.

Answer 2

Answer: S ≈ 48.2°

Explanation:

We can use trigonometry functions to solve.

Looking at angle S, t = 18 is the hypotenuse and r = 12 is the adjacent side. This means we can use the cosine function.

`\displaystyle cos(S) = \frac{\text{adjacent side}}{\text{hypotenuse }}=(12)/(18)`

`\displaystyle cos^(-1) (cos(S)) = (\frac{\text{adjacent side}}{\text{hypotenuse }}=(12)/(18))cos^(-1)`

`S = 48.189685...\\S \;$\approx$\; 48.2^(\circ)`