A street light is at the top of a 11 foot tall pole. A 6 foot tall woman walks away from the pole with a speed of 4 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 45 feet from the base of the pole

8.8ft/s

Step-by-step explanation:

Height of pole=11 foot

Height of man=6  foot

Let x be the distance of man from the pole and y be the distance of tip of shadow from the base of the pole.

Two right  triangles are similar then the ratio of their corresponding sides are equal

Differentiate w.r.t t

Hence, the tip of her shadow is moving at the rate 8.8ft/s when she is 45 feet from the  base of the pole

if x decreases by 4 then y increases by 10

step-by-step explanation:

to determine the unit cost your would divide the total cost by the number sold.

7 bagels for $4.41       $4.41/7 = $.63 each at fresh side

5 bagels for $3.60         $3.60/5 = $.72 each at value mart