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Mathematics 23 Online
OpenStudy (anonymous):

help!!

OpenStudy (anonymous):

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:

OpenStudy (anonymous):

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

OpenStudy (anonymous):

A) change the length of side CB to 13 feet B)change the length of side CB to 11 feet C)change the length of side CB to 8 feet D)change the length of side CB to 8.5 feet

OpenStudy (anonymous):

@pooja195

OpenStudy (welshfella):

for them to be similar the ratio of corresponding sides must be the same PR/AC = 7.5 / 6 and PQ/AB = 5/4 both equal to 1.25

OpenStudy (welshfella):

So RQ/CB should be = 1.25 also

OpenStudy (anonymous):

so would it be d?

OpenStudy (welshfella):

what does 10/8.5 come to?

OpenStudy (welshfella):

work it out on your calculator

OpenStudy (welshfella):

is 10/8.5 = 1.25?

OpenStudy (anonymous):

I got 1.17

OpenStudy (welshfella):

so?

OpenStudy (welshfella):

is d the answer?

OpenStudy (anonymous):

im so confused :(

OpenStudy (welshfella):

well 10/CD must be eqaul to 1.25 ( which is the ratio of the other 2 sides in the triangles) so you need to find which length of CD gives you this ratio. it can't be 8.5 because 10/8.5 = 1.17 not 1.25 so try option c = 10/8 what does that equal?

OpenStudy (anonymous):

1.25

OpenStudy (welshfella):

right - you've got it

OpenStudy (anonymous):

so C?!

OpenStudy (welshfella):

of course

OpenStudy (anonymous):

thank you!!

OpenStudy (welshfella):

yw

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