The building is 151 meters tall
From the question, we have the following parameters about the building and the man
Man's height = 138 cm
Man's shadow = 149 cm
Building's shadow = 163 m
Based on the above parameters, we have the following equivalent ratio:
Ratio = Height : Shadow
So, we have:
Man's height : Man's shadow = Building's height : Building's shadow
Substitute the known values in the above equation
138 cm : 149 cm = Building's height : 163 m
Remove the units
138 : 149 = Building's height : 163
Express as fraction
138 /149 = Building's height/163
Multiply both sides by 163
Building's height = 163 * 138 /149
Evaluate the product
Building's height = 151 m
Hence, the building is 151 meters tall
So, the complete parameters are:
Man's height = 138 cm
Man's shadow = 149 cm
Building's shadow = 163 m
Building's height = 151 m
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