Math Question

RE Classes M West BIG, IDI AS MATH
BG IDEAS MATH \( \# 16 \mathrm{i} \)
MODELING WITH MATHEMATICS Planes the fly at high speeds and low elevations have radar systems that can determine the range of an obstacle and the angle of elevation to the top of the obstacle. The radar of a plane flying at an altude of feet detects a tower that is 25,000 feet away, with an angle of elevation of \( 1^{\circ} \).
a. How many feet must the plane rise to pass over the tower?
The plane must rise at least \( \square \) feet to pass over the tower.
b. Planes cannot come closer than 1000 feet vertically to any object. At what altitude must the plane fly in order to pass over the tower?



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