Question

The Great Pyramid of Cheops has a square base with a length of 756 feet. Its height is 482 feet. If you walk straight up from the center of the north side to the top of the pyramid you have to climb an angle of BLANK degrees.

You decide to simplify your life and walk up along one of the ridges. Thus you have to climb only at an angle of BLANK degrees.
On your way up the ridge you walk a distance of BLANK feet.

a) 51.7, 38.3, 630
b) 38.3, 51.7, 482
c) 51.7, 38.3, 482
d) 38.3, 51.7, 630

Answer 1

The angle you have to climb when walking straight up from the center of the north side to the top of the Great Pyramid of Cheops is approximately 33.53 degrees. If you decide to walk up along one of the ridges, you would have to climb at an angle of approximately 38.20 degrees. On your way up the ridge, you would walk a distance of approximately 630 feet.

Step-by-step explanation:

To find the angle you have to climb when walking straight up from the center of the north side to the top of the Great Pyramid of Cheops, you can use trigonometry. The angle can be calculated using the arctangent function. The angle is given by:

angle = arctan(height/base) = arctan(482/756)

This gives an angle of approximately 33.53169 degrees.

However, if you decide to walk up along one of the ridges, the angle you have to climb will be different. To find this angle, you can use the Pythagorean theorem to find the distance you walk along the ridge. Let's call this distance 'x'. The height of the pyramid will be the hypotenuse of a right triangle, with the base as one of the legs. Using the Pythagorean theorem, we have:

height^2 = base^2 + x^2

Solving for 'x', we get:

x = sqrt(height^2 - base^2) = sqrt(482^2 - 756^2)

This gives a distance of approximately 630 feet. Then, we can use the arctangent function again to find the angle you have to climb, which is given by:

angle = arctan(x/base) = arctan(630/756)

This gives an angle of approximately 38.19845 degrees.