Ken Is 6 Feet Tall and Is Walking Away from a Streetlight

Multiple Choice

Ken is 6 feet tall and is walking away from a streetlight. The streetlight has its light bulb 14 feet above the ground, and Ken is walking at the rate of 4.1 feet per second. Find a function, d(t) , which gives the distance Ken is from the streetlight in terms of time. Find a function, S(d) , which gives the length of Ken's shadow in terms of d. Then find $( \mathrm { S } \circ \mathrm { d } ) ( \mathrm { t } )$

A)
$( \mathrm { S } \circ \mathrm { d } ) ( \mathrm { t } ) = 2.26 \mathrm { t }$
B)
$( S \circ \mathrm { d } ) ( \mathrm { t } ) = 6.93 \mathrm { t }$
C)
$( \mathrm { S } \circ \mathrm { d } ) ( \mathrm { t } ) = 3.9 \mathrm { t }$
D)
$( \mathrm { S } \circ \mathrm { d } ) ( \mathrm { t } ) = 3.08 \mathrm { t }$