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
Step-by-step explanation:
The triangle is a right triangle with :
[tex]A=30^\circ \\B=90^\circ\\AB=40$ metres[/tex]
We are required to find the length of the side BC.
Using Trigonometry ratios
[tex]\tan \theta =\dfrac{BC}{AB}\\\tan 30^\circ =\dfrac{x}{40} \\BC, x =40 \times \tan 30^\circ\\BC=23.09$ metres[/tex]
The length BC, in metres, is 23.09 metres.
