Question

What is the length of bc ? Round to the nearest tenth.

6.8 cm
7.5 cm
14.5 cm
17.7 cm

Answer 1

I believe the answer is C 14.5

Answer 2

The value of BC is 14.5 cm .

Explanation:

Now by using the trignometric identity .

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

As given

`\theta = 65^(\circ)`

Perpendicular = BC = x

Hypotenuse = AB = 16 cm

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

`sin\ 65^(\circ) = (x)/(AB)`

`0.9063\ (Approx) = (x)/(16)`

x = 0.9063 × 16

x = 14.5 cm (Approx)

x = BC = 14.5 cm

Therefore the value of BC is 14.5 cm .