The boat is roughly 654ft away from the base of the cliff.
Explanation:
We have the angle 17°
The side opposite the angle is 200ft.
We want to find the length of the adjacent side.
So what equation has Opposite and Adjacent in it?
Tangent. (Remember SOH-CAH-TOA)
Tan = opp/adj
Tan(theta°) = opp/adj
Rearranging,
adj = opp/tan(theta°)
adj = 200/tan(17°)
adj = 654.17ft
And to double check you answer,
° = tan^-1(opp/adj)
° = tan%-1(200/654)
° = 17°