A television camera is positioned from the base of a vertical launch pad

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

A television camera is positioned

150\,\text{m}

from the base of a vertical launch pad. When a rocket is

80\,\text{m}

above the pad and rising vertically at

45\,\text{m/s}

, calculate the rate at which the camera’s angle of elevation

\theta

(measured in radians) is changing at that instant.