A small balloon is released at a point 60 feet away from an observer, who is...
• (5pts) A man 6 feet tall is walking away from a building that is 24 feet high. There is a light at the top of the building that casts a shadow of the man onto the ground. If the man is walking at a rate of 7 feet per second, at what rate is the tip of his shadow moving when he is 12 feet away from the building?
travelling south at a rate of 20 miles/hr while B is travelling east at 30 mi/hr. How fast is the distance between them changing 1 hour later a. 2 miles /hour b. 4 miles/hour c. 5 miles/hour d. 6 miles/hour 16. The depth of the water in a cylind rical tank 4 m in diameter is increasing at the rate of 0.7 m/min. Find the rate at which the water flowing into the tank a. 5.8 cubic meter per minute...
Please show each step! alloon takes off 400 feet from a parking lot. The balloon rises at a rate of 10 feet per minute. A dog standing at the edge of the parking lot watches the balloon take off a. Draw a picture. Label any parts of the picture that do not change as the b. How fast is the distance between the dog and the balloon changing 30 minutes after the balloon took off? Add any variables that you...
(1 point) A stone is thrown straight down from the edge of a roof, 950 feet above the ground, at a speed of 7 feet per second. A. Remembering that the acceleration due to gravity is -32 feet per second squared, how high is the stone 4 seconds later? B. At what time does the stone hit the ground? C. What is the velocity of the stone when it hits the ground?
A woman flies her kite at a constant height of 250 feet. The wind carries the kite horizontally away from her at a constant rate of 20 feet per second. When the straight-line distance between her and the kite is 500 feet, how fast is the kite moving away from her? Explain clearly what you do.
please complete and show steps clearly and show work and circle answer. please answer every picture! will thumbs up, and write kind comment/review as soon as it is posted!!!! please and thank you 3. A parachutist is descending over level ground toward her landing point at Parachutist a constant descent rate of 4 feet per second. At the instant at which her altitude is 1000 feet, she is 2500 feet from her landing point, and her ground speed is 15...
A lighthouse is located on a small island 2 km away from the nearest point P on a straight shoreline and its light makes four revolutions per minute. How fast is the beam of light moving along the shoreline when it is 1 km from P? (Round your answer to one decimal place.) _____km/min
Understanding Physical Science 14.5: A. A 10-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the pavement directly away from the building at 2 feet/second, how fast is the top of the ladder moving down when the foot of the ladder is 2 feet from the wall? The top of the ladder is moving down at a rate of ___ feet/second when the foot of the ladder is 2 feet from the wall....
7. (8 points) A 6 foot-tall man is walking away from a lamp post, which is 11 feet tall. Let u represent the man's distance from the lamp post (in feet) and let y represent the length of the man's shadow (in feet), as shown in the picture below. Determine how fast the man is walking if the length of his shadow is increasing at a rate of 12 feet per second.
A ladder which is 13 feet long is leaning against the side of a tall building. If the bottom of the ladder is sliding away from the building at a rate of 2 feet per second, how fast is the top falling when the topic is 5 feet from the ground?