Answer:
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
