## shadow lamp post (related rates problem)

Calculus Solution [Scroll down for text (non-video) version of the solution.] Related rates – Man’s shadow from a lamp post (Matheno.com) Watch on To solve this problem, we will use our standard 4-step Related Rates Problem Solving Strategy. 1. Draw a picture of the physical situation. See the figure.

## Related Rates Shadow Problem

Related Rates Shadow Problem Ask Question Asked 8 years, 1 month ago Modified 7 years, 7 months ago Viewed 9k times 0 The question is as follows: A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above the ground. When he is 10 feet from the base of the light, (a) at what rate is the tip of his shadow moving?

## Related rates: shadow (video)

2 comments ( 30 votes) Calefornia 11 years ago With the light source the same height as the diver, the shadow is parallel to the ground and never touches, so the shadow’s velocity is infinity, but only in that instant. It’s only an instantaneous velocity. That’s why the number can be so large at the start.

## Related Rates The Shadow Problem

This calculus video tutorial explains how to solve the shadow problem in related rates. A 6ft man walks away from a street light that is 21 feet above the ground at a rate of 3ft/s. At what.

## EXAMPLE: PROBLEM 3.9.16 RELATED RATES

Question 1. A spotlight on the ground shines on a wall 12 meters away. If a two meter man walks from the spotlight to the wall at a speed of 1.6 meters per second, how fast is the length of his shadow on the wall decreasing when he is 4 meters from the wall?

## Related Rates : Shadow Problem

3 Question state is : “A person 6 ft tall walks at 5 ft/s along one edge of a road 30 ft wide. On the other edge of the road is a light atop a pole 18 ft high. How fast is the length of the person’s shadow (on the horizontal ground) increasing when the person is 40 ft from the point directly across the road from the pole?” However, calculus.

## Related rates shadow problem

A very common related rates problem in calculus is that of the shadow. It goes as follows: You have a lamp of height H1 H 1 and a man of height H2 0 s > 0; the lamp’s light casts a shadow on the man. How fast is the shadow length increasing?

## Related rates intro (practice)

Related rates intro AP.CALC: CHA‑3 (EU), CHA‑3.E (LO), CHA‑3.E.1 (EK) Google Classroom You might need: Calculator The side of a cube is decreasing at a rate of 9 9 millimeters per minute. At a certain instant, the side is 19 19 millimeters. What is the rate of change of the volume of the cube at that instant (in cubic millimeters per minute)?

## Related Rates: Tip of a Shadow

Related Rates: Tip of a Shadow Ask Question Asked 6 years, 10 months ago Modified 11 months ago Viewed 1k times 2 A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above the ground. When he is 10 feet from the base of the light, (a) at what rate is the tip of his shadow moving?

## Related rates (Pythagorean theorem) (practice)

Related rates (Pythagorean theorem) Two cars are driving away from an intersection in perpendicular directions. The first car’s velocity is 5 5 meters per second and the second car’s velocity is 8 8 meters per second. At a certain instant, the first car is 15 15 meters from the intersection and the second car is 20 20 meters from the intersection.