A streetlight is mounted at the top of a 15 ft pole. A man 6 ft tall is walking away from the streetlight at the rate of 5 ft per second. See the diagram below.

(a) How fast is the length of his shadow increasing when he is 25 ft from the pole?
(b) How fast is the tip of his shadow moving when he is 25 ft from the pole?

Transcribed Image Text:

15 ft 6 ft