Question 200
A group of surveyors wants to determine the height of a hill. From the place $A$ in the plane of the base, they see the top of the hill at an angle of $\alpha=19^\circ 40^\prime$, but when they approach the hill behind $250 \mathrm{~m}$ in a straight line, they see the top at an angle of $\beta=24^\circ$. How high is the hill? Round intermediate results to four decimal places, and the result to a whole number. Write down the answer.
