Ellen casts a 5.5 foot shadow. If Ellen is 4 feet 6 inches tall, and her brother is 6 foot tall, how long of a shadow does he ca
st at the same time of day?
A) 6 ft. 8 in.
B) 7 ft. 2 in.
C) 7 ft. 4 in.
D) 7 ft. 8 in.
1 answer:
Answer:
C) 7 ft 4 in
Step-by-step explanation:
Shadows are assumed to be proportional to the height of the object casting them. Hence the brother's shadow will satisfy ...
shadow/(6 ft) = (5.5 ft)/(4.5 ft) = 11/9 . . . . . reduce the fraction
shadow = (6 ft) · (11/9) . . . . . . . . . . . . . . . . . multiply by 6 ft
shadow = 7 1/3 ft = 7 ft 4 in
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(4k⁷)³ = 4n(k⁷)³
Note that (aˣ)ⁿ = aˣⁿ
Expand the left and right sides.
4³k²¹ = 4nk²¹
Divide each side by k²¹.
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