Question

Find BC

(round to the nearest hundredth)​

Answer 1

Given:

In ΔABC, ∠C = 90°, ∠A = 50° and AB = 3 unit.

To find the value of BC.

Formula:

By Trigonometric Ratio we get,

`sin \ \theta=(opposite)/(Hypotenuse)`

Now,

With respect to θ = 50°, AB is the hypotenuse and AB is the opposite side.

So,

`sin \ 50^(\circ)=(BC)/(AB)`

`sin \ 50^(\circ)=(BC)/(3)`

`BC = 3 * sin 50^(\circ)`

`BC = 2.298 = 2.3` (approx)

Hence,

The value of BC is 2.3 units.