A weather balloon rises vertically at

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

6\,\text{m/s}

. An observer is stationed

100\,\text{m}

from the point of lift-off. When the balloon is

80\,\text{m}

above the ground, what is the instantaneous rate of change of the observer’s angle of elevation

\theta

(in rad/s)? (a)

0.061

(b)

0.075

(c)

0.037

(d)

0.047