Related Rates 2 October 03, 2016 A twometer tall person jogs at 3 - - PDF document

Related Rates 2 1 October 03, 2016

A two­meter tall person jogs at 3 m/sec away from a street light which is located 5 m above the ground. How fast is her shadow growing when she is 8 m from the light pole.

Related Rates 2 2 October 03, 2016

An observer stands 300 ft from a hot­air balloon launch. When the balloon is 300 ft above the ground, it is rising vertically at 10 ft/sec. At what rate is the angle of elevation changing at that instant?

Related Rates 2 3 October 03, 2016

A lighthouse is located on a small island 3 km from the nearest point P on a straight

• shoreline. The light makes 4 revolutions per minute. How fast is the beam of light

moving along the shoreline when it is 1 km from P?

Related Rates 2 4 October 03, 2016

The hands of the clock in the tower at Parliament (in London, UK) are 3m and 2.5m in length. How fast is the distance between their tips changing at 9am? ( HINT: Law of Cosines )

Related Rates 2 5 October 03, 2016

The bottom of a large theater screen is 3 ft above your eye level, and the top of the screen 10 ft above your eye level. You walk toward the screen at 3 ft/sec while looking at the screen. At what rate is the viewing angle changing when you are 30 ft from the wall on which the screen hangs? (Assume the floor is horizontal)

Related Rates 2 6 October 03, 2016

An observer stands 20m from the bottom of a 10m tall Ferris Wheel, on a line perpendicular to the face of the wheel. The wheel rotates at a rate of pi rad/min and the observer's line of sight with a specific seat on the wheel makes an angle theta with the ground. 40 seconds after the seat leaves the lowest point on the wheel, what is the rate of change of theta? (Assume the observer's eyes are level with the bottom of the wheel)