Answer:
C. \(\frac{x}{3}=\frac{110}{5}\)
Step-by-step explanation:
Let x be the original height of building.
We have been given that a 3 meter pole has a shadow 5 m long. The shadow of a nearby building is 110 m long.
To find the original height of building we will use proportions as proportion states that two fractions are equal.
So we can set a proportion using our given information.
\(\frac{\text{Actual height of building}}{\text{Actual height of pole}}=\frac{\text{Shadow of building}}{\text{Shadow of pole}}\)
Upon substituting our given values in above equation we will get,
\(\frac{x}{3}=\frac{110}{5}\)
Therefore, the equation \(\frac{x}{3}=\frac{110}{5}\) could be used to find the actual height of building.
