Find the tangents of the acute angles in the right triangle. Write each answer as a fraction.

Question

Find the tangents of the acute angles in the right triangle. Write each answer as a fraction.

tan J=​ 

tan K=​ 

Answer 1

Hi Jesse!

To find the tangent ratio, you need

the opposite side and the adjacent side

of the given angle.

opposite

In general, TanΘ = ------------

adjacent

The opposite side is the side directly across from that angle.

The opposite side of a right angle is a special case of an

opposite side. It is called the hypotenuse. It is the longest side

of the triangle.

The adjacent side is the side right next to the angle that is

NOT the hypotenuse.

I'll give you something to start with. The side adjacent to ∠J

is of length 3.

See if you can finish.