Chapter 6, Problem 48SGR

To determine

To calculate:Tofind the height of pyramid

Answer to Problem 48SGR

Height of pyramid is $5784$ inches

Explanation of Solution

Given information: A vertical yard stick casts a shadow $1.5$ feet long. The pyramid casts a shadow $241$ feet long

Calculation:

Given that a vertical yard stick casts a shadow $1.5$ feet long

Also, $1yard=36inch$

Let the height of pyramid be $x$

Since the shadow is casted at the same time, hence they must be proportional

Thus, proportional is

  $\frac{x}{241}=\frac{36}{1.5}$

On solving the above proportion,

  $\begin{array}{l}x\times 1.5=36\times 241\\ x=\frac{36\times 241}{1.5}\\ x=\frac{24\times 241}{1}\\ x=5784\end{array}$

Hence, height of pyramid is $5784$ inches