Question

Please help me thank you.

Answer 1

Option 2: 5.34 is the correct answer.

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,

`tan 24 = (perpendicular)/(base)\\0.4452 = (x)/(12)\\x = 0.4452*12\\x = 5.3424`

Rounding off to nearest hundredth

x = 5.34

Hence,

Option 2: 5.34 is the correct answer.