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Aim: How do solve related rate problems involving trig functions?

Aim: How do solve related rate problems involving trig functions?. Do Now: 1. Evaluate the following: a. sin b. c. 2. Differentiate the following:.

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Aim: How do solve related rate problems involving trig functions?

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  1. Aim: How do solve related rate problems involving trig functions? Do Now: 1. Evaluate the following: a. sin b. c. 2. Differentiate the following:

  2. Mario is standing 25 feet from the launch pad of a hot air balloon. If the balloon is rising at the rate of 20 ft/min, how will the angle between Mario’s eye and the balloon be changing after 5 minutes? z y When t = 5, y = 5(20) = 100 25 103

  3. A hot-air balloon rising straight up from a level field is tracked by an inclinometer 500 ft from the lift-off point. At the moment the inclinometer’s angle of elevation is radians, the angle is increasing at the rate of 0.14 rad/min. How fast is the balloon rising at that moment? y 500

  4. A camera on the ground 200 meters away from a hot air balloon records the balloon rising into the sky at a constant rate of 10 m/sec. How fast is the camera’s angle of elevation changing when the balloon is 150 meter in the air? z Finding y 200 Find z before finding

  5. A plane (alt. 4000 ft) is flying west at 700 ft/s. A searchlight, under its path, tracks it. How fast is the light pivoting when the plane is 5000 ft west? x(t) 5000 ft 4000

  6. A camera on the ground 300 meters away from the launchpad records a hot air balloon rising at a rate of 10 m/sec. How fast is the camera’s angle of elevation changing when the hot air balloon is 400 meters high?

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