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Standing side by side, a woman casts a 41.4-inch shadow and her 40-inch-tall son casts a 24-inch shadow. What is the height of the woman to the nearest inch?

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Mathematics

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Standing side by side, a woman casts a 41.4-inch shadow and her 40-inch-tall son casts a 24-inch shadow. What is the height of the woman to the nearest inch?

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MrRoyal MrRoyal · Answer 1 · 2025-04-13T22:16:25-04:00

Answer:

25 inches

Step-by-step explanation:

Given

Son:

[tex]Height = 40\ inch[/tex]

[tex]Shadow = 24\ inch[/tex]

Woman:

[tex]Height = 41.4\ inch[/tex]

Required

Determine the height of the woman's shadow

From the question, the height is directly proportional to the height of the shadow:

So, we have:

[tex]40\ inch = 24\ inch[/tex] --- For the son

and

[tex]41.4\ inch = x[/tex]

Where x represents the shadow of the woman

Cross Multiply:

[tex]x * 40 = 24 * 41.4[/tex]

[tex]x * 40 = 993.6[/tex]

[tex]40x = 993.6[/tex]

Make x the subject

[tex]x = 993.6/40[/tex]

[tex]x = 24.84[/tex]

[tex]x = 25[/tex] ---- approximated

Hence, the woman's shadow is 25 inches tall

HELP QUICK Standing side by side, a woman casts a 41.4-inch shadow and her 40-inch-tall son casts a 24-inch shadow. What is the height of the woman to the nearest inch?

Answer :

Other Questions

HELP QUICK
Standing side by side, a woman casts a 41.4-inch shadow and her 40-inch-tall son casts a 24-inch shadow. What is the height of the woman to the nearest inch?