Question

7.For the given triangle find the exact value for tan(A). Assume angle C is a right angle.

Answer 1

tan A = 2/7 (option C)

Explanation:

Angle = A

opposite = side opposite the angle = BC

opposite = 2

adjacent = AC

AC = 7

hypotenuse not given

Since angle C is a right angle, we would apply trigonometry ratio SOHCAHTOA

We are looking for tan A, tan ratio (TOA):

$\tan angle=\frac{opposite}{adjacent}$$\tan \text{ A = }\frac{2}{7}\text{ (}option\text{ C)}$