Kelly is 5'4" tall. She measured her shadow one morning to be 8'7". She then measured the shadow of her house. The house shadow

Question

1 year ago

11

was 42'3". How tall is the
actual house? (inches rounded to the hundredths.)

1 answer:

olchik [2.2K] · Answer 1 · 2023-08-20T04:56:26+03:00

The height of the actual house is 26'.26" .

<h3>How to find the height of the house using ratio?</h3>

A ratio indicates how many times one number contains another.

Therefore, the heights will form a similar length. Therefore, the corresponding length have the same ratios.

Therefore,

height of Kelly / x = height of Kelly shadows / height of house shadow

Hence,

where

x = actual height of the house

5.4 / x = 8.7 / 42.3

cross multiply

42.3 × 5.4 = 8.7x

Therefore,

228.42 = 8.7x

divide both sides by 8.7

228.42 / 8.7 = 8.7x / 8.7

x = 26.2551724138

Therefore, the height of the actual house is 26'.26"

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