Question

In the triangle, not drawn to scale, angle

BAC = 30° and AB = 40 m. The length. BC,
in metres, is​

Answer 1

Question Correction

In the right triangle, not drawn to scale, angle BAC = 30° and AB = 40 m. The length. BC, in metres, is​

Answer:

23.09 metres

Explanation:

The triangle is a right triangle with :

`A=30^\circ \\B=90^\circ\\AB=40$ metres`

We are required to find the length of the side BC.

Using Trigonometry ratios

`\tan \theta =(BC)/(AB)\\\tan 30^\circ =(x)/(40) \\BC, x =40 * \tan 30^\circ\\BC=23.09$ metres`

The length BC, in metres, is​ 23.09 metres.