A5 feet 6 inches tall man is walking away from a lamppost at a rate of 2 ft/sec. If the lamppost is 12 feet above ground level, find how fast does the end of his shadow move?

Q: A lamp post 3 m high is 6m from the wall. A man 2 m tall is walking directly from the post toward…

A:

Q: A kilometer is a bit more than .62 miles. If the speed limit along the stretch of a highway in…

A: Given that the speed limit along the stretch of a highway in Canada is 90 kph.

Q: A streetlight is mounted at the top of a 16 foot pole. An 8 foot tall Sasquatch walks away from the…

A:

Q: Each side of a square is increasing at a rate of 2 cm/s. At what rate is the area of the square…

A:

Q: Suppose you drive for 60 miles at 60 miles per hour, then for 60 miles at 30miles per hour. In miles…

A: Recall the equation connecting the three variables of speed, distance and time as: time = distance /…

Q: A neighborhood carnival has a merrygo-round whose radius is 25 feet.If the time for one revolution…

A: Since,it is known that the speed can be calculated by using the formula speed=Radius×Angular…

Q: A child who is 4 feet tall walks at a speed of 3 feet per second away from a lamp post that is 20…

A: Given that the child is 4 feet tall and he walks at speed of 3 feet per second from lamp post of 20…

Q: A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight…

A:

Q: A 5 foot girl is walking toward a 20- foot lamppost at the rate of 6 feet per second. How fast is…

A:

Q: A projectile is shot upward from the top of a 220-foot building with an initial velocity of -22 feet…

A:

Q: Movement along the San Andreas Fault Averages 6 cm/year. At this rate, how long will it take for Los…

A: Given : Average movement of San Andreas Fault= 6 cm/year

Q: A spotlight on the ground is shining on a wall 12m away. If a woman 2m tall walks from the spotlight…

A:

Q: A candle on Pauline dresser is 4 inches tall.and burns at a rate of 0.6 inches per hour . How many…

A: Topic - equation in one variable

Q: Two cars that started at the same point are driving away from each other. The first car is driving…

A: Given,          Two cars that started at the same point are driving away from each other. The first…

Q: An aircraft is flying horizontally at a speed of 600 km/h. How fast is the distance between the…

A:

Q: A street light is mounted at the top of a 15 foot tall pole. A man 6 feet tall walks away from the…

A:

Q: Two people start biking from the same point. One heads east at 13 mph, the other south at 17 mph.…

A: Given, two bikers start at same point. One heading east at 13mph and other heading south at 17 mph.

Q: A light hangs 15 feet directly above a straight walk on which a man 6 feet tall is walking. How fast…

A:

Q: Shan, who is 2 meters tall, is approaching a post that holds a lamp 6 meters above the ground. If he…

A:

Q: A lamp post 3 m high is 6 m from a wall. A man 2 m tall is walking directly from the post toward the…

A:

Q: A spotlight on the ground is shining on a wall 24m away. If a woman 2m tall walks from the spotlight…

A: Here we use the application of derivative

Q: A spotlight on the ground shines on a wall of a building 20 feet away. If a man 6ft tall walks from…

A:

Q: Suppose a car is going 31 miles per hour and slams on the break and decelerates at 13 feet per…

A:

Q: A man 6 ft tall walks along a level sidewalk away from a lamppost. On the post is a street light 18…

A:

Q: A ball is dropped down a well and 5 sec later the sound of the splash is heard. If the velocity of…

A: The complete solutions are given below

Q: The sides of a square are increasing at the rate of 2 feet per minute each. Find the rate at which…

A:

Q: The radius of the wheel of a car is 15 inches. If the wheel is the rate of 3 revolutions per second,…

A: Given the radius of the wheel of a car is 15 inches and the wheel is turning at the rate of 3…

Q: Shirogane, who is 175 cm tall, is walking at a rate of 3 meters per second towards a lamppost which…

A:

Q: An automobile 20 feet long overtakes a truck 40 feet long that is traveling at 50. At what constant…

A: Let the speed of the automobile be v feet/second. Since both vehicle going in the same direction.…

Q: Two people start from the same point. One walks east at 2km/h and the other walks northeast at 3…

A: Given

Q: A van starts off 152 miles directly north from the city of Springfield. It travels due east at a…

A: The distance between the van and the city of Springfield is 152 miles in the north direction. The…

Q: Starting from the same point, Reden starts walking eastward at 60 cm/s while Neil starts running…

A: To find out the rate of change if distance between Reden and Neil after 2 seconds.

Q: The London Eye is a Ferris wheel in London, England, that travels at a speed of 0.26 meter per…

A:

Q: A man 6-ft tall walks with a speed of 5 ft./sec. away from a street light that is a top of a 24-ft…

A:

Q: A spotlight on the ground is shining on a wall 24m away. If a woman 2m tall walks from the spotlight…

A:

Q: A hot air balloon rose from a height of 100 m to 400 m in 3 minutes. What was the balloon’s rate of…

A: Solution:

Q: One Saturday afternoon, James decided to fly a kite. It reaches a height of 150m and the wind…

A:

Q: 4. A man 6 ft tall walks away from a lamp post 16 ft high at the rate of 5 miles per hour. How fast…

A:

Q: A boat moves at a rate of 13 mph in still water. If the river's current flows at a rate of 3mph, how…

A: given that: A boat moves at a rate of 13 mph in still water. the river's current flows at a rate of…

Q: A worker bee flies of a mile in of an hour. At this rate, how far can the bee fly in 1 hour?

A: given that a worker bee flies 58 of a mile in 116  of an hour find out how far the bee can fly in an…

Q: A man 6 feet tall walks at a rate of 2 feet per second away from a light pole that is 16 feet high.…

A: From the figure substitute value of BE, AE, AD and AC in equation (1)

Q: A kite travels upwards at 30 mph, while a kid runs away at 6mph. What rate is the distance between…

A:

Q: } One leg of a right triangle is increasing at a rate of 2 inches per second while the otner stays…

A:

Q: A revolving beacon is situated 3600 feet off a straight shore. If the beacon turns at 2 revolutions…

A:

Q: Each side of a square is increasing at a constant rate of 4 centimeters per second. At what rate is…

A:

Q: Suppose that Stuart is 6 feet tall and is walking towards a 20 foot streetlight at a rate of 6 feet…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.