Question

What does the 0.7071... mean? It is the ratio of the side lengths, so the Opposite is about 0.7071 times as long as the Hypotenuse.​

Answer 1

We can now put 0.7071... in place of sin(45°):

0.7071... = OppositeHypotenuse

And we also know the hypotenuse is 20:

0.7071... = Opposite20

To solve, first multiply both sides by 20:

20 × 0.7071... = Opposite

Opposite = 14.14m (to 2 decimals