Question

If B =90°,ac=96cm,c=30° what dose ab = in cm

Answer 1

Answer: 48

96/2 = 48 cm

Answer 2

ab = 48 cm

Explanation:

Supposing ABC is a right angled triangle where m∠B = 90°, ac = 96 cm and c = 30°, we are to find the length of the side ab in cm.

For this, we will use the trignometric ratios to find ab.

`sin B = \frac { a b } { a c }`

`sin 30 = \frac { a b } { 9 6 }`

`(1)/(2) =(ab)/(96)`

`96=2ab`

`ab=(96)/(2)`

ab = 48 cm