25/3 ft/s is speed of the tip of his shadow moving when a man is 40 ft from the pole given that a street light is mounted at the top of a 15-ft-tall pole and the man is 6 ft tall who is walking away from the pole with a speed of 5 ft/s along a straight path. This can be obtained by considering this as a right angled triangle.
<h3>How fast is the tip of his shadow moving?</h3>
Let x be the length between man and the pole, y be the distance between the tip of the shadow and the pole.
Then y - x will be the length between the man and the tip of the shadow.
Since two triangles are similar, we can write
⇒15(y-x) = 6y
15 y - 15 x = 6y
9y = 15x
y = 15/9 x
y = 5/3 x
Differentiate both sides
dy/dt = 5/3 dx/dt
dy/dt is the speed of the tip of the shadow, dx/dt is the speed of the man.
Given that dx/dt = 5 ft/s
Thus dy/dt = (5/3)×5 ft/s
dy/dt = 25/3 ft/s
Hence 25/3 ft/s is speed of the tip of his shadow moving when a man is 40 ft from the pole given that a street light is mounted at the top of a 15-ft-tall pole and the man is 6 ft tall who is walking away from the pole with a speed of 5 ft/s along a straight path.
Learn more about similar triangles here:
brainly.com/question/8691470
#SPJ4
Answer:
±4i, ±3
p(x) = A(x - 4i)(x + 4i)(x - 3)(x + 3), with A = 1.
Step-by-step explanation:
±4i, ±3
p(x) = A(x - 4i)(x + 4i)(x - 3)(x + 3), with A = 1.
Answer: Wrote more articles and books
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
y=mx+b
m = slope
we have y=-7
y = 0*x-7
m=0
y=-7
Find the volume of one brick by multiplying the length by the height by the width to find the volume for one brick.
Then multiply the volume for one brick by the number of bricks they want to make to find the total amount of concrete needed.
Volume of brick: 5 x 4 x 2 = 40 cm^3
Total concrete needed: 1600 x 40 = 64,000 cm^3