Question

In the adjoining figure, the length of BC is :​

Answer 1

Answer:

3 cm

Step-by-step explanation:

sin theta = BC/AC =1/2

1/2=BC/6

6/2=BC

BC=3 cm

Answer 2

Given:

AC = 6cm

∠BAC=30°

∠ABC=90°

To find:

length of BC

Solution:

We know that sine of an angle is equal to the ratio of the perpendicular opposite to the angle and the hypotenuse, so we can write as,

sin θ$=\frac{Peperdicular}{Hypotenuse}$

From the given figure, we can write that,

θ=30°

Hypotenuse=AC=6cm

Perpendicular = BC

So, putting the values in the above formula, we have,

sin 30°=$\frac{BC}{6}$

⇒BC=sin 30°×6

Now we know,

sin 30°=$\frac{1}{2}$

So,

BC=$\frac{1}{2}$×6

⇒BC = 3cm

Hence, the length of BC is 3 cm.