Charlie, who is 4 feet tall, walks away from a streetlight that is 15 feet high at a rate of 6 feet per second, as shown in the

Question

7nadin3 [17]

3 years ago

11

Charlie, who is 4 feet tall, walks away from a streetlight that is 15 feet high at a rate of 6 feet per second, as shown in the

figure. Express the length s of Charlie's shadow as a function of time.

Mathematics

1 answer:

levacccp [35] · Answer 1 · 2022-01-11T19:56:35+03:00

levacccp [35]3 years ago

3 0

From similarity of triangles we have s/4 = (s+d)/15 and so 4s = s + d and therefore s = d/3. Assuming he starts walking at t=0 from the street light (there is no figure to check this out) then d=6t and we then have s = (6/3) t