🚀Related Rates Trigonometry problem ! ! ! ! ! - vTomb
All
People & Blogs
Entertainment
Music
Gaming
Education
Howto & Style
News & Politics
Science & Technology
Film & Animation
Sports
Comedy
Autos & Vehicles
Nonprofits & Activism
Travel & Events
Pets & Animals

RELATED RATES PLAYLIST: https://goo.gl/85bbsG
__________
In this video you will learn how to find the Maximum Rate of Change of the angle between the observer and the airplane, given the speed of the airplane and its altitude relative to the ground.

A spectator at an air show is trying to follow the flight of a jet. The jet follows a straight path in front of the observer at 540 miles per hour. At its closest approach, the jet passes 600 feet in front of the person. Find the maximum rate of change of the angle between the spectator's line of sight and a line perpendicular to the flight path, as the jet flies by.

0:40 Drawing & Understanding picture with given Info
2:44 Converting from miles per hour to feet per second
3:40 Understanding what needs to be solved for - max θ'(t)
4:32 Finding equation involving angle θ(t)
5:07 Differentiating the found equation implicitly
5:36 Rewriting equation that solves for θ'(t)
5:55 Solving for θ'(t) by plugging in known quantities into equation
6:22 Understanding how to find the maximum value for θ'(t)

Related Videos to this topic:

Related Rates: Kite problem
https://youtu.be/JkKr1hDYDBQ

Related Rates: Curve problem
https://youtu.be/HEzg857kY3U

Related Rates: Boat problem
https://youtu.be/GU10f0HKFTg

Related Rates: Pulley & Rope problem
https://youtu.be/qgBzwrb5AcQ

Related Rates: Shadow Problem {lamp post; finding shadow LENGTH rate of change s'(t)}
https://youtu.be/A_IA-X44e2w

Related Rates: Cone Problem - finding h'(t)
https://youtu.be/QLYwZJAFlfE

Related Rates: Complex Trigonometry Problem {θ'(t)=-θ1'(t)-θ2'(t)}
https://youtu.be/h0gZo3FbV6Y

Related Rates: Sliding Ladder Problem - finding x'(t)
https://youtu.be/BQGjhejoUNI

Related Rates: Oil Spill Problem - finding r'(t)
https://youtu.be/MLHC96qqbQ0

Related Rates: 3-Variable Problem - 2 approaching cars, finding d'(t)
https://youtu.be/-xduJ7ybPX4

Related Rates: Sphere Problem {finding r when S'(t)=r'(t)}
https://youtu.be/J83SK31jQD0

Related Rates: Balloon Problem - finding S'(t)
https://youtu.be/vtytsSlSRGc
______________________

CALCULUS PLAYLIST: https://goo.gl/sw5cj5