Question

Given the following triangle, if c = 18.6 and m B = 43°, find the length of BC (side a) to the nearest whole number.

Answer 1

= 14

Explanation:

Given a right angled triangle with hypotenuse length c =18.6 and ∠B = 43°.

We can use the trigonometric forms of a right angled triangle,

That is;

Cos 43 = Adjacent/Hypotenuse

That is;

Cos 43 = BC/AC = a/c

Therefore;

Cos 43 = a/18.6

a = 18.6 × cos 43

= 13.603

= 14

Therefore, BC or a is 14 (to the nearest whole number)