Math Questions and Answers

Start Your Free Trial

How fast is the plane traveling at that time? A plane flies horizontally at an altitude of 6 km and passes directly over a tracking telescope on the ground. When the angle of elevation is pi/4 , this angle is decreasing at a rate of pi/4 rad/min. __________________km/min.

Expert Answers info

Eric Bizzell eNotes educator | Certified Educator

briefcaseTeacher (K-12)


calendarEducator since 2011

write3,155 answers

starTop subjects are Math, Science, and Business

Let x be the horizontal (ground) distance from the tower and `theta` the angle of elevation from the tower to the plane.

Then `tan theta=6/x` . Taking the derivative with respect to t we get:

(The entire section contains 113 words.)

Unlock This Answer Now


check Approved by eNotes Editorial