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5 votes
2.

1. A 6-foot tall observer casts a 3.5-foot shadow

at the same time a silo casts a 49-foot shadow.

How tall is the silo?

User John Riehl
by
8.1k points

2 Answers

4 votes

Answer:

x = 84ft

Explanation:

6ft/3.5ft = x/49ft

3.5x = 6 x 49

3.5x = 294

3.5x ÷ 3.5 = 294 ÷ 3.5

6ft/3.5ft = 84ft/49ft

User Uxonith
by
7.9k points
4 votes

Answer:

The height of the Silo is 84 ft


h_s=84ft

Explanation:

Given that a 6-foot tall observer casts a 3.5-foot shadow at the same time a silo casts a 49-foot shadow.

To find the height of the Silo:

We can solve this by setting up a ratio comparing the height of the Silo to the height of the observer and shadow of the Silo to the shadow of the observer.

Let
h_(s)=x ft be height of the Silo


s_s=49ft shadow of the Silo


h_o=6ft height of the observer


s_o=3.5ft shadow of the observer

Now we have
(h_s)/(s_s)=(h_o)/(s_o)

Substitute the values we get


(x)/(49)=(6)/(3.5)


x=(6* 49)/(3.5)


=(294)/(3.5)


x=84


h_s=84ft

∴ the height of the silo is 84 ft

User Tires
by
8.2k points
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