Question

Find tan 0 where 0 is the angle shown

Answer 1

Answer:

Because tan represents $\frac{opposite}{adjacent}$ from θ (theta), the equation should be $tan0$=$\frac{15}{x}$. Let's leave this equation like that. Now, we need to find the unknown side length, x. We need to use Pythagorean Theorem, because we're given the other two side lengths. The equation should be $x^{2}+15^{2}=17^{2}$. X should equal ±8 or 8, because a side length can't be a negative value. Now, we can plug in 8 into the equation to get $tan0=\frac{15}{8}$.