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:
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Answer: 0.68
Step-by-step explanation:
given data:
ABC market share = 30%
number of customers surveyed = 800
probability that more than 32% prefers ABC
Solution:
32% of 800
= 256 persons
p ( x ≥ 256 )
= 1 - ( 256/800 )
= 1 - 0.32
= 0.68
the probabiliy that more than 32% of those who carried out the survey would prefer ABC brand is 0.68.
Answer:
4
Step-by-step explanation: 4/1
Answer:
5 years ago
Let Kelly's age be x
Jake's age is 4x
5 years later
Kelly's age is x + 5
Jake's age is 4x+5
The sum of both their ages is 60. The equation will be
x + 5 + 4x + 5 = 60
5x + 10 = 60
5x = 60 - 10
x = 50/5 = 10
So Kelly is (10 + 5) 15 years old.
Jake is (4*10 + 5) = 45 years old