Point I is on line segmentHJ‾HJ . Given HI=x,HI=x, IJ=2x+9,IJ=2x+9, and HJ=4x, HJ=4x, determine the numerical length of IJ‾.IJ .
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Answer
Find out the how long is woman shadow .
To prove
Let us assume that the height = x
Let us assume that the shadow = y
(As shadow increase with the increase in the height.)
x = ky
Where k is constant of proportionality.
As given
A 10 ft tall statue standing next to a woman casts an 18 ft shadow.
10 = k × 18
As given
If the woman is 5 ft tall .
Let us assume that the shadow of woman be s .
Put in the proprtionality equation .
5 = k × s
Compare the value of k .
s = 9 ft
Therefore the shadow of the woman be 9 ft .
Option (C) is correct .