in triangle abc the measure of angle b is 90o ac is 50o and bc is 14o which ratio represents the tangent of angle a

Question

Need help answering this question. in triangle abc the measure of angle b is 90o ac is 50o and bc is 14o which ratio represents the tangent of angle a

Answer 1

Since you have a right triangle, you can use the pythagorean theorem to find side ab .

$ab^2+bc^2=ac^2$

$ab^2=500^2-140^2$.

Tangent is opposite over adjacent, so it would be $\frac{bc}{ab}$.