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"
learn more on ratio here: brainly.com/question/20849502
#SPJ1
