Question

For the right triangle with sides as shown in Figure 1.9, find side x and the angle θ.

Answer 1

We can use the Pythagorean theorem to find x. Pythagoras tells us:

x² + (3.50)² = (6.20)²

Solving for x gives

As for θ, since we are given the “opposite” side and the hypothenuse, we know sin θ. It is:

Then get θ with the inverse sine operation: