Question

Jeff was curious about the height of the Chrysler Building and decided to measure it indirectly while he was in New York City. He used a 2-meter model of the building that he found in a gift shop and measured the length of the shadow of the model to be 2.2 meters. Then he measured the length of the shadow of the Chrysler Building and found it to be 352 meters. What is the height of the Chrysler Building?

Answer 1

Given:

The height of the model is h = 2 m.

The length of the shadow is l = 2.2 m.

The original length of the shadow is L = 352 m.

The objective is to find the original height of the building.

Explanation:

Consider the original height of the building as H.

Then, the value of H can be calculated as,

$\frac{H}{L}=\frac{h}{l}\text{ . . . . . . . (1)}$

On plugging the given values in equation (1),

$\frac{H}{352}=\frac{2}{2.2}$

On further solving the above equation,

$\begin{gathered} H=\frac{2}{2.2}\times352 \\ H=320m \end{gathered}$

Hence, the height of the Chrysler Building is 320 meters.