An airplane flying at an altitude of is on a flight path that passes directly over an observer (see figure). Let be the angle of elevation from the observer to the plane. What is the distance from the observer to the plane when a. , b. , and c. ?
Ā
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3. (20 pts) An observer stands 200 meters from the launch site of a hot air balloon. The balloon rises vertically at a constant rate of 5 m/s. How fast is the distance between the observer and the balloon changing 20 seconds after the launch? Make sure to label the figure ! 200 m
An airplane is flying at a speed of 350 mi/h at an altitude of one mile and passes directly over a radar station at time .
(a) Express the horizontal distance d (in miles) that the plane has flown as a function of t.
(b) Express the distance s between the plane and the radar station as a function of d.
(c) Use composition to express s as a function of t.
A plane flies horizontally at an altitude of 5 km and passes directly over a tracking telescope on the ground. When the angle of elevation is , this angle is decreasing at a rate of radians per minute. How fast is the plane traveling at that time?
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, this angle is decreasing at a rate of 
radians per minute. How fast is the plane traveling at that time?