Answer: 105 yd²
Step-by-step explanation:
The formula for determining the surface area of a square pyramid is expressed as
Surface area = base area + 2(length of each side × slant height)
From the information given,
Length of each side of the square = 6.2 yd
Base area = 6.2² = 38.44 yd²
To determine the slant height, h, we would apply the tangent trigonometric ratio.
Tan θ = opposite side/adjacent side.
Adjacent side = 6.2/2 = 3.1
Opposite side = h
Therefore,
Tan 60 = h/3.1
h = 3.1tan60 = 3.1 × 1.732
h = 5.3692 yd
Therefore,
Surface area = 38.44 + 2(6.2 × 5.3692)
= 38.44 + 66.58
= 105yd² to the nearest tenth
