Question

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

Answer 1

Hi there! Look at the attachments along with my explanation. Before we are going to answer your problem, we need to know the basic Trigonometric Ratio first.

• tanA = opposite/adjacent

Now see my attachments. The first attachment is the original image from your problem.

The second attachment is when we draw to focus on angle H (in a better perspective)

The third attachment is when we draw to focus on angle G in a better perspective.

Now that we know tanA = opposite/adjacent

Define A = any angles.

Therefore,

tanH = 1/2

tanG = 2/1 = 2

Answer

• tanG = 2
• tanH = 1/2