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 6-foot-tall wpman walks. t 6 ft/s toward light that is 30 ft above the ground. What is the rate of change a street f the length of her shadow when she is 5 ft from the street light? At what rate is the tip of her shadow Let L be the length of the woman's shadow and tx be the woman's distance from the street light. Write. n equation that relates L and x. Differentiate both sides f the...
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...
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.)
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.
(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) 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...
Question F: part 16, 17, 18
A6 ft tall woman stands vertically in front of a mirror, 2ft away from her. Her eyes are 5 ft above the floor. If she wants to see her freshly pedicured toes in the mirror, what is the maximum distance the bottom of the mirror must be from the bottom of the floor? Select one: 2.5 ft 1 ft 0.625 ft 3 feet It depends how far the woman is from the mirror It...
Question G: Part 1, 2, 3
A6 ft tall woman stands vertically in front of a mirror, 2ft away from her. Her eyes are 5 ft above the floor. If she wants to see her freshly pedicured toes in the mirror, what is the maximum distance the bottom of the mirror must be from the bottom of the floor? Select one: 2.5 ft 1 ft 0.625 ft 3 feet It depends how far the woman is from the mirror A...
1. The angle of elevation to the top of a very tall Building is found to be 8° from the ground at a distance of 1 mi from the base of the building. Using this information, find the height of the building. (Round your answer to the nearest foot.) _______ft 2. A 19-ft ladder leans against a building so that the angle between the ground and the ladder is 71°. How high does the ladder reach on the building? (Round...