Question

A light is on the top of a 12 ft tall pole and a 5’6’’ tall...

A light is on the top of a 12 ft tall pole and a 5’6’’ tall person is walking away from the pole at a rate of 2 ft/sec

  1. At what rate is the tip of the shadow moving away from the pole when the person is 25 ft from the pole?
  2. At what rate is the tip of the shadow moving away from the person when the person is 25 ft from the pole?
  3. please give all solutions
Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Solution-

Use simple similar triangles method to find the relation and than differentiate to find the value of speed,

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A street light is at the top of a 10 ft tall pole. A woman 6...
A street light is at the top of a 10 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 8 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 40 ft from the base of the pole?
A 6.50​-ft-tall man walks at 8.00 ​ft/s toward a street light that is 14.0 ft above...
A 6.50​-ft-tall man walks at 8.00 ​ft/s toward a street light that is 14.0 ft above the ground. At what rate is the end of the​ man's shadow moving when he is 11.0 ft from the base of the​ light? Use the direction in which the distance from the street light increases as the positive direction. The end of the man's shadow is moving at a rate of ____ ft/s.
1. A street light is mounted on top of a 6-meter-tall pole.A man 2 m tall...
1. A street light is mounted on top of a 6-meter-tall pole.A man 2 m tall walks away from the pole with a speed of 1.5 m/s along a straight path.How fast is the tip of his shadow moving when he is 10 m from the pole ? 2. A cone-shaped paper drink is made to be made to hold 27 cm^3 of water. Find the height and radius of the cup that will use the smallest amount of paper....
please don't do this unless you can do all parts, circle answer and show work please...
please don't do this unless you can do all parts, circle answer and show work please part 1) Assume x and y are functions of t. Evaluate dy/dt  given that y^2−8x^3=225 dx/dt=5, x=−3, y=3 Answer: dy/dt= part 2) Assume x and y are functions of t. Evaluate dy/dt given that 5xy+ sqrt(2x+y)=48 dx/dt=-4; x=3 ,y=3. Answer: dy/dt= part 3) Suppose that for a company manufacturing calculators, the cost, and revenue equations are given by C=70000+40x, R=400−x^2/30,, where the production output in...
please only answer if you can do all parts, I also included my answer but they...
please only answer if you can do all parts, I also included my answer but they are wrong please do not leave the same one part 4) A spherical balloon is inflated so that its volume is increasing at the rate of 3.8 ft3/minft3/min. How rapidly is the diameter of the balloon increasing when the diameter is 1.8 feet? The diameter is increasing at 1.8 (My answer but its incorrect) ft/min. part 5) A street light is at the top...
A very tall crane of height h has a pulley and a light on top. The...
A very tall crane of height h has a pulley and a light on top. The pulley is raising a girder of length L feet. The shadow is growing at a rate of 1/5 L feet per second when the length of the shadow of the girder is 2L feet. (a) How high is the girder at this instant? (b) How fast is the girder rising at this instant?
a man 6ft tall walks at a rate of 5ft/s away from a lamppost that is...
a man 6ft tall walks at a rate of 5ft/s away from a lamppost that is 16ft high. At what rate is the length of his shadow changing when he is 30 ft away from the lamppost?
1. A telephone pole is 24 feet tall. Curtis, who is standing some distance away from...
1. A telephone pole is 24 feet tall. Curtis, who is standing some distance away from the telephone pole measures the angle of elevation to the top of the pole as 51.4 degrees. How far away from the base of the telephone pole is Curtis standing if Curtis's eye height is 5.2 feet? 2. You are on vacation sight-seeing at the coast and climb up to the top of a 50-meter lighthouse. You look down to see a boat and...
2)     A ladder needs to reach a building by passing over a fence that is 8 ft...
2)     A ladder needs to reach a building by passing over a fence that is 8 ft tall and 12 ft away from the building. What is the shortest ladder that will do so? Please show all steps
A ladder 25 feet long is leaning against the wall of a house. The base of...
A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2 feet per second. (a) What is the velocity of the top of the ladder when the base is given below? 7 feet away from the wall ft/sec 15 feet away from the wall ft/sec 20 feet away from the wall ft/sec (b) Consider the triangle formed by the side of the...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT