Question

An architect planned to construct two similar stone pyramid structures in a park. The figure below shows the front view of the pyramids in her plan, but there is an error in the dimensions.
Which of the following changes should she make to the length of side CA to correct her error?

A. Change the length of side CA to 6 feet

B. Change the length of side CA to 3 feet

C. Change the length of side CA to 5 feet

D. Change the length of side CA to 8 feet

Answer 1

Answer:

change the length of side CA to 5 feet

Answer 2

Answer:

C. Change the length of side CA to 5 feet

Step-by-step explanation:

When two solids are similar then their corresponding measurement must be in the same proportions,

Given,

RPQ and CAB are the fronts of two similar pyramid,

Thus, by the above statement,

$\frac{PR}{AC}=\frac{RQ}{BC}=\frac{PQ}{AB}$

$\because \frac{RQ}{BC}=\frac{10.5}{7}=1.5$

$\frac{PQ}{AB}=\frac{9}{6} =1.5$

If PR = 7.5,

$\frac{7.5}{AC}=1.5$

$\implies AC=\frac{7.5}{1.5}=5$

Hence, the length of side CA must be change to 5 feet.

Option C is correct.