Question

I know how to do it but don’t have a calculator with the trig option sin-1 so can someone help me

Answer 1

x = 4.9 cm

Explanation:

Note that sin theta = (opp side) / (hypotenuse), and that:

hypotenuse (opp side)

------------------ = -----------------

1 sin theta

and so:

hypotenuse (opp side) 4 cm

------------------ = ----------------- or hypotenuse = ---------------------------- = x

1 sin theta sin (55 degrees)

4 cm

Thus, x = --------------- = x = 4.88 cm or (to 1 DP) x = 4.9 cm

0.819