Question

Please help me I’ve been trying

Answer 1

AC = 2.87

Solution:

Given AB = 5

To find the length of AC:

The given triangle is a right triangle.

So we can use trigonometric formula.

$\sin \theta=\frac{\text { Opposite }}{\text { Hypotenuse }}$

$\Rightarrow \sin B=\frac{A C}{AB }$

$\Rightarrow \sin 35^\circ=\frac{AC}{5 }$

$\Rightarrow \sin 35^\circ\times 5=AC$

$\Rightarrow 0.573\times 5=AC$

$\Rightarrow 2.865=AC$

⇒ AC = 2.87

Hence the length of AC = 2.87.