Chapter 12.8, Problem 2GP

To determine

The height of prism $A$ is to be estimated as the triangular prisms are similar:

  

Answer to Problem 2GP

The height of triangular prism of $A$ is calculated as $30ft$ .

Explanation of Solution

Given:

  

Calculation:

The given two triangular prisms are similar that means their ratio of are also same as:

  $\begin{array}{l}{h}_A=24ft\\ h_2=8ft\\ H_A=hft\\ H_B=10ft\end{array}$

Now, the ratios of two figures are as:

  $\begin{array}{l}{h}_r=\frac{h_A}{h_B}=\frac{24ft}{8ft}\\ H_r=\frac{H_A}{H_B}=\frac{hft}{10ft}\end{array}$

Two triangular prisms are similar that means their ratio of are also same so, the height of triangular prisms is calculated as:

  $\begin{array}{l}\frac{24ft}{8ft}=\frac{hft}{10ft}\\ h=\frac{24ft}{8ft}\times 10ft\\ h=30ft\end{array}$

Conclusion:

Hence, the height of triangular prism of $A$ is calculated as $h=30ft$ .