4. A spotlight on the ground shines on a wall 12 m away. If a man...
A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight toward the building at a speed of 1.9 m/s, how fast is the length of his shadow on the building decreasing when he is 4 m from the building? (Round your answer to one decimal place.)
Tutorial Exercise A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks along the x-axis from the spotlight toward the building at a speed of 1.2 m/s, which is taken as the given dx/dt, how fast is the length of his shadow on the building decreasing when he is 4 m from the building? Step 1 Using the diagram below, find the relation between x and y.
Previous Problem Problem List Next Problem (4 points) A spotlight on the ground is shining on a wall 20m away. If a woman 2m tall walks from the spotlight toward the building at a speed of 0.6m/s, how fast is the length of her shadow on the building decreasing when she is 6m from the building? Answer (in meters per second) 23.94
A man 5 ft tall is walking away from a lamp post 9 ft tall. If the man is walking at a speed of 4 ft/s, how fast is the length of his shadow changing when he is 61 ft from the lamp post? Rate of change of shadow ft/sec Done
a man 6ft tall walks at the rate of 5ft/sec toward a streetlight that is 16ft above the ground. At what rate is the length of his shadow changing when he is 10ft from the base of the light?
• (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?
A light source on the ground is positioned 10 meters away from a wall. A walker who is 2 meters long begins his race towards the wall from the light source at the speed of 1 m / s. How quickly does the length of its shadow change when the walker is 4 meters from the source?
A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 5 ft!s along a straight path. How fast is the tip of his shadow moving when he is 40 ft from the pole? The answer is 25/3. I let x be the length of shadow, y be the distance between man and pole. I did 6/15=x/(x y) then i got x=2/3y dx/dt=dy/dt(2/3) Then I...
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 man 6.50 ft tall approaches a street light 17.0 ft above the ground at the rate of 5.00 ft/s. How fast is the end of the man's shadow moving when he is 8.0 ft from the base of the light? 17.0 ft 6.50 ft 5.00 ft/s The end of the man's shadow is moving at a rate of ft/s (Round to two decimal places as needed.)