Answer:
Option 2: 5.34 is the correct answer.
Step-by-step explanation:
As it can be seen that the given triangle is a right-angled triangle.
Here
Base = 12
Perpendicular = x
θ = 24°
We can use trigonometric ratios to find the value of x. We have to choose a trigonometric ratio which involves base and perpendicular as we only know these two and the angle in the triangle
So,
[tex]tan 24 = \frac{perpendicular}{base}\\0.4452 = \frac{x}{12}\\x = 0.4452*12\\x = 5.3424[/tex]
Rounding off to nearest hundredth
x = 5.34
Hence,
Option 2: 5.34 is the correct answer.
