mr.hemley stands next to the Illionis centennial monument at logan square chicago and casts a shadow that is 18 ft long. The shadow of the monument is 204 ft tall, how tall is the monument?

How tall is Mr. Hemley?

A monument is 50metres high .What is the length of the shadow cast by the monument if the angle of elevation of the sun is 60degree?

To find the height of the monument, we can use the concept of similar triangles.

Let's define some variables:
Let "x" be the height of the monument.
Let "y" be the height of Mr. Hemley.

Now, we can set up the proportion between the lengths of the shadows and the heights of the objects:

Shadow length of monument / Height of monument = Shadow length of Mr. Hemley / Height of Mr. Hemley

Using the given values:
204 ft (shadow length of monument) / x (height of monument) = 18 ft (shadow length of Mr. Hemley) / y (height of Mr. Hemley)

Since Mr. Hemley's height is not given, we need to find it. However, we'll need the additional information of how long Mr. Hemley's shadow is to calculate his height.

If we have the length of Mr. Hemley's shadow, we can rearrange the equation and solve for the height of the monument (x).