We were provided with a right-angled triangle. For a right-angled triangle, we can use the trigonometric ratios to solve for unknown sides or angles.
First, let's label the triangle to determine the trigonometric ratios to use:
From the diagram above, we are given:
adjacent = 12
angle = 25 degrees
x = oppossite
We are going to use the tangent ratio, which is:
[tex]\tan \text{ }\phi\text{ = }\frac{opposite}{adjacent}[/tex]
When, we substitute the given data, we have:
[tex]\begin{gathered} \tan 25^0\text{ = }\frac{x}{12} \\ x=tan25^0\text{ }\times\text{ 12} \\ =\text{ 5.6 (nearest tenth)} \end{gathered}[/tex]
Answer: x = 5.6 (option A)
