Given the side length of 35m and a height of 22m, calculate the length of the slant edge ( E ) the base angle the distance between the center of the base and the corner of the pyramid and the area of the side of the pyramid Work shown please!

1) 33.11 m

2) 58.1°

3) 35·√2

4) 491.925 m²

Step-by-step explanation:

Side length of the pyramid = 35 m

The height of the pyramid = 22 m

The slant height = √(Height² + (1/2 Side length)²)

The slant height = √(22² + (1/2×35)² = 28.11 m

1) The slant edge length = √((Slant height)² + (1/2 Side length)²

The slant edge length = √(28.11² + (1/2×35)²) = 33.11 m

2) The base angle = tan⁻¹((Slant height)/(1/2 Side length))

The base angle = tan⁻¹(28.11/(1/2×35)) = 58.1°

3) The distance between the center pf the base and the corner of the pyramid is half the length of the base diagonal

The length of the base diagonal = √((Side length)² + (Side length)²)

The length of the base diagonal = √(35² + 35²) = 35·√2

The distance between the center pf the base and the corner of the pyramid = 35·√2/2 = 24.75 cm

4) The area of the side of the pyramid = 1/2×(Side length)× (slant height)

The area of the side of the pyramid = 1/2*35*28.11 = 491.925 m²

answer: 12

step-by-step explanation: