First, we want to work out the angles in the triangles. We know the bottom left is 47, this means that the other angle in the large triangle must be 43 180 - 90 - 47 = 43 To complete the right angle, the second angle at the top must be 47 90 - 43 = 47 This leaves angle B as 43
Now that we know the angles, we need to label the smaller triangle with the hypotenuse, the adjacent and the opposite. The Hypotenuse is always opposite the right angle (AB) We can use the angle of 47 (B) to work out length AB Opposite 47 is the vertical line Leaving adjacent as the horizontal line We know what the adjacent is and want to know the hypotenuse SOH CAH TOA Cos(...) = Adjacent/Hypotenuse Fill in what we know Cos (47) = 22/Hyp
We can rearrange the formula to find the hyp 22/cos(47) = hyp
