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:

(Image Will Be Posted Below)

Which of the following changes should she make to the length of side RQ to correct her error?

Answer 1

https://cdn.flvsgl.com/assessment_images/geometry_v16_gs-xml/94507_55a90847/0408_a_g4_q4.jpg

Answer 2

Select one:
a. Change the length of side RQ to 9 feet
b. Change the length of side RQ to 10.5 feet
c. Change the length of side RQ to 8 feet
d. Change the length of side RQ to 11.5 feet

Answer 3

I can't see the figure.

Answer 4

You have to click the link

Answer 5

we did but it says this

Answer 6

Forbidden

You don't have permission to access /assessment_images/geometry_v16_gs-xml/94507_55a90847/0408_a_g4_q4.jpg on this server.

Apache/2.2.15 (CentOS) Server at cdn.flvsgl.com Port 443

Answer 7

The link doesn't work for us, probably because we're not logged in. Can you try to download the picture and then upload it using the "Attach File" button on OpenStudy?

Answer 8

oh ok then
ill get it in a sec

Answer 9

x*3.5=10.5"

Answer 10

^^^There it is! ^^^

Answer 11

ok, great! Let's do this! :D

so, we're constructing two SIMILAR pyramids

that means their sides must be in a proportion, similarly the question tells us that the value of RQ is wrong and we need to correct it

do you follow so far? :)

Answer 12

You are dealing with similar triangles.

Answer 13

Yes

Answer 14

What do you do to AB to end up with PQ?
What do you multiply the length of AB by to get PQ?

Answer 15

I'll let Math take over as he can do a better job explaining, and also I don't want to confuse you with too many people helping:)

Answer 16

That is the same as asking what is the scale factor.
What is \(\dfrac{PQ}{AB} \) ?

Answer 17

ok

Answer 18

1.5

Answer 19

OH! I got it, It is B. RQ should be 10.5

Answer 20

Correct.
Now let's just confirm.
What is PR/AC?

Answer 21

B is correct, right? ^^^ What I said above your previous post.

Answer 22

Correct.
PR/AC is also 1.5
That confirms that the scale factor is 1.5.
When you apply a scale factor of 1.5 to 7, you do 1.5 * 7 = 10.5, so the answer is 10.5.

Answer 23

Alright, Thanks for the help!

Answer 24

You're welcome.