brittneyhiebert2543
11.05.2021 •
Mathematics
The Great Pyramids of Khufu is located in El Giza, Egypt. Pyramids were built to serve as tombs for the pharaohs of ancient Egypt. The Great Pyramid is 481
feet high and has a square base with a base edge length of 756 feet. What is the approximate surface area (to the nearest hundredth) of the pyramid.
(HINT: Is the base on the surface?)
Solved
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Ответ:
The Great Pyramids of Khufu is located in El Giza, Egypt. Pyramids were built to serve as tombs for the pharaohs of ancient Egypt. The Great Pyramid is 481 feet high and has a square base with a base edge length of 756 feet. What is the approximate surface area (to the nearest hundredth) of the pyramid.
(HINT: Is the base on the surface?)
Square with edge length = 756 feet
Square= 1/2 × 297.45 × 481
= 286,146.9ft
= 1,037,709,9ft. base with edge length =756 feet
area of square,
= Side² = 756 × 756 = 571,563ft²
⇒ area of base = 1/2 = 756/2 = 378ft
By pythagorean theorem,
H² = P²+B²
(481)² = P²+(378)²
P² = (481)²-(378)²
P² = 231,361-142,884
P² = 88,477
P = √88,477
P = 297.45
Area of triangle =1/2 × b × h
= 1/2x297.45*481
= 148.725×481
= 71,536.725
Now area of 4 triangles = 4×71,536.725
= 286,146.9ft
total surface area of pyramid + square
= 751,563+286,146.
= 1,037,709,9ft.
Ответ:
The answer is 6.451 or 6.5 rounded
Step-by-step explanation:
The way to solve this is to find all the degrees inside the triangle first
you have two given degrees which are 21 and 90 degrees
add those numbers up and subtract it from 180. That is the last corner degree
you then use that information to find all the side lengths using the given hypotenuse length.
Btw its geometry not really trig.