Since s and t are complimentary, that means ∠s + ∠t = 90
From the picture, we also know that ∠t + ∠LGM = 90
Set them equal to each other:
∠s + ∠t = ∠t + ∠LGM, solve:
∠s = ∠LGM
Now using the fact that tangent = opposite/adjacent:
tan (∠s) =
tan (∠s) =
Set them equal to each other to get:
=
Solve:
Part B:
Using tan (∠s) =
We get: meters
Hope that helps!