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11 Nov 2019
A street light is mounted at the top of a 15-ft-tall pole. Aman
6 ft tall walks away from the pole with a speed of 5 ft!salong
a straight path. How fast is the tip of his shadow movingwhen
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 andpole.
I did 6/15=x/(x y)
then i got x=2/3y
dx/dt=dy/dt(2/3)
Then I got (2/3)5= 10/3
What did I do wrong. Please don't just give me the answer. Explainto me what I did wrong
A street light is mounted at the top of a 15-ft-tall pole. Aman
6 ft tall walks away from the pole with a speed of 5 ft!salong
a straight path. How fast is the tip of his shadow movingwhen
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 andpole.
I did 6/15=x/(x y)
then i got x=2/3y
dx/dt=dy/dt(2/3)
Then I got (2/3)5= 10/3
What did I do wrong. Please don't just give me the answer. Explainto me what I did wrong
Hubert KochLv2
29 Jul 2019
