Answer:
Option d is correct.
42 ft(Approximately) tall is the building.
Step-by-step explanation:
Proportion states that the two ratios or fractions are equal.
As per the statement: A building casts a 50-foot shadow.
Also, Alex is 5 feet tall and casts a 6-foot shadow.
⇒ Height of the Alex = 5 ft , Shadow of Alex = 6 ft and Shadow of the building= 50 ft.
Let height of the building be h.
Then, by definition of proportion,
\(\frac{Height of Alex}{Shadow of Alex} = \frac{Height of the building}{Shadow of the building}\)
Substitute the given values we get;
\(\frac{5}{6} = \frac{h}{50}\)
By cross multiply we get;
\(50 \times 5 = 6h\)
Divide both sides by 6 we get;
\(h = \frac{50 \times 5}{6} = \frac{250}{6} = 41.6666667 ft\)
Therefore, height of the building (approximately) is, 42 ft
