Question

Calculate the length of BC to the nearest tenth.

Answer 1

BC = 3.9

Explanation:

Let AC is h and BC is x. Firstly, using trigonometry we can find the value of h. So,

`\sin\theta=(2)/(h)\\\\\sin(27)=(2)/(h)\\\\h=(2)/(\sin27)\\\\h=4.4`

Now using Pythagoras theorem to find the value of b. Such that,

`x^2=4.4^2-2^2\\\\x=√(15.36) \\\\x=3.9`

So, length of BC is 3.9