Question

In right triangle ABC, ∠A is a right angle, m∠B= 44∘ and AC=10. What is the measurement of BC

Answer 1

Answer: BC = 14.4

Explanation:

First, draw the triangle, just like what I did (see the picture below).

Second, to find BC, we need to use trigonometry. Tan doesn't work because we're not looking for AB, and cos doesn't work because we don't have AB to find CB. So we are gonna use sin, which is possible because we have AC.

Remember: SOHCAHTOA, sin = opposite/hypotenuse, cos = adjecent/hypotenuse, tan = opposite/adjacent.

Let's write an equation:

`sin(44) = (10)/(AB)`

Solve for AB:

`AB sin(44) = 10`

Isolate the AB:

`AB = (10)/(sin(44))`

Which if plugged in a calculator, gives us
`14.395` ≈
`14.4`