• (5pts) A man 6 feet tall is walking away from a building that is 24...
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 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
Question 25 4 pts Aman 5 feet tall walks at a rate of 3 feet per second away from a light that is 15 feet above the ground (see figure). When he is 10 feet from the base of the light, at what rate is the tip of his shadow moving? 16 12 8 10 20 felsec 10 it/sec 11/11/sec ft/sec
(1 point) A street light is at the top of a 17 ft pole. A 6 ft tall girl walks along a straight path away trom the pole with a speed of 7 ft/sec At what rate is the tip of her shadow moving away from the light (ie away from the top of the pole) when the girl is 35 ft away from the pole? Answer How fast is her shadow lengthening? Answer
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...
4. 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 1.7 m/s, how fast is the length of his shadow on the building decreasing when he is 3.6 m from the building?
A 34 m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 37 m. Find the length of the shadow. If necessary, round your answer to the nearest tenth. х 000 000
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?
a) A six-foot tall woman is standing 10 feet away from a light pole that is 15 feet tall. How long is the woman's shadow? HINT: Draw a picture. Write two expressions using the same trigonometric function, then, since they represent the same trigonometric function, set them equal and solve. b) A wire is attached to a 200-foot tall antenna. If the angle of elevation from the point on the ground to the top of the antenna is 30°, then...
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.)