A 6-foot-tall man walks away at the rate of 4 ft/sec from the base of a street light 12 feet above ground. At what rate is the length of his shadow changing when he is 20 feet away from the base of the light? At what rate is the tip of his shadow moving

Q: Suppose the wheel of Dan’s bike is 70cm in diameter. It’s turning at a rate of 50 revolutions per…

A: In this question we have to find the linear speed in cm per minute.

Q: A man 7 ft tall walks at a speed of 5 ft/sec toward a street lamp which is 15 ft above the ground.…

A:

Q: "A Kite 65 feet above the ground moves horizontally at a speed of 6 ft/s. At what rate is the angle…

A: Given a kite 65 feet above the ground moves horizontally at a speed of 6 ft/s.

Q: A bird 150 ft above the ground flies horizontally at a speed of 11 ft/s. At what rate is the angle…

A: Given Data: The height of the bird above the ground is: y=150 ft The speed of the bird is: x'=11…

Q: A balloon, leaving the ground 53 ft from an observer, rises 10.75 ft/sec. How fast is the angle of…

A: The given problem is to find the how fast is the angle of elevation of the line of sight increasing…

Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

A: Find the base where area and altitude is already given, then the formula of the area of a triangle…

Q: A street light is at the top of a 18 foot tall pole. A 6 foot tall woman walks away from the pole…

A: Let AB be the pole=18ft CD be height of woman=6 ft let AD=x and DE=y dxdt=4 ft/sec (given)

Q: woman 6 ft tall walks away from the pole with a speed of 8 ft/sec along a straight path. How fast is…

A: SOLUTION-

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.