Question

Please Help! Math help Needed

Answer 1

ANSWER

The exact value is 24√3

The approximate value is 41.6 to the nearest tenth.

x=52.1 units.

EXPLANATION

Let the blue dotted line be h units.

This line is opposite to the 60° angle.

The side length of the triangle which is 24 units is adjacent to the 60° angle.

So we use the tangent ratio,

$\tan(60 \degree) = \frac{opposite}{adjacent}$

$\tan(60 \degree) = \frac{h}{24}$

$\sqrt{3} = \frac{h}{24}$

$h = 24 \sqrt{3}$

This is the exact value.

$h = 41.6$

This is that approximate value to the nearest tenth.

To find the side length , x, we need to use the second triangle.

$\sin(53\degree) = \frac{h}{x}$

$\sin(53\degree) = \frac{41.6}{x}$

$x = \frac{41.6}{\sin(53\degree)}$

$x = 52.1$