Question

Use the given triangle to fill in the blank

Answer 1

The value of the tank is 12/5

Answer 2

tanX is 12/5.

Given:

In a right triangle,

The length of the side XY = 13.

The length of the side YZ = 12.

The length of the side XZ= 5.

The objective is to find tan X.

In a right angled triangle the largest side is always hypotenuse.

Sinec tan X is required to solve, then, the side YZ is opposite side and the side XZ is adjacent side.

By the trigonometric ratios, the value of tan X can be calculated as,

`\begin{gathered} \tan X=(opposite)/(adjacent) \\ =(YZ)/(XZ) \\ =(12)/(5) \end{gathered}`

Hence, the value of tanX is 12/5.