Ryan and Scott are each studying a square pyramid. Ryan's square pyramid has triangular sides with a base of 10 feet and height of 12 feet. Scott's pyramid has triangular sides with a base of 12 feet and height of 10 feet.

Which statement best describes the two pyramids?
Both pyramids have the same total surface area, but the areas of the lateral faces and the areas of the bases are different in each pyramid.
Both pyramids have the same total surface area, and the areas of the lateral faces and the areas of the bases are the same in each pyramid.
Ryan’s pyramid has a greater surface area.
Scott’s pyramid has a greater surface area.

Ryans square pyramid

[Base Area]=10*10=100 feet²

Perimeter=10+10+10+10=40 feet

[Slant Length]=12 feet

Surface Area=100+12*40*12=5860 feet²

Scotts square pyramid  

[Base Area]=12*12=144 feet²

Perimeter=12+12+12+12=48 feet

[Slant Length]=10 feet

Surface Area=144+12*48*10=5904 feet²

the answer is d. Scott’s pyramid has a greater surface area.

Step-by-step explanation:

its d there is a grater surface area

Step-by-step explanation:

Ryan square pyramid

[Base Area]=10*10=100 feet²

Perimeter=10+10+10+10=40 feet

[Slant Length]=12 feet

Surface Area=100+12*40*12=5860 feet²

Scott square pyramid  

[Base Area]=12*12=144 feet²

Perimeter=12+12+12+12=48 feet

[Slant Length]=10 feet

Surface Area=144+12*48*10=5904 feet²

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step-by-step explanation:

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet