Question

If B=62º and c=24, find b.

Answer 1

The correct answer is option a. 21.2

Explanation:

It is given that, a right angled triangle ABC right angled at C

To find the value of b

From the figure we get,

m<B = 62º and c=24

Sin B = Opposite side/Hypotenuse = AC/AB = b/c

b = c * Sin B = 24 * Sin 62

= 24 * 0.8829 = 21.19 ≈ 21.2

Therefore the correct answer is option a. 21.2

Answer 2

A. 21.2

Explanation:

Using trigonomteric ratio, Cosine

Cosine B = a/c

But; c = 24

B = 62

Cos 62 = a/24

a = 24 × cos 62

= 11.26

Using Pythagoras theorem we can get b;

since; a² + b² = c²

b² = 24² - 11.26²

= 449

b = √449

= 21.19

≈ 21.2