Applying the tangent ratio, tan ∅ = opposite side/adjacent side, the height of the pyramid (BC) is: 14 units.
What is the Tangent Ratio?
In a right triangle, the tangent ratio applied is expressed as, tan ∅ = opposite side/adjacent side.
From the information given about the pyramid with an equilateral triangle base, we would have the following:
∅ = 45° (tan 45 = 1)
Opposite side = height of the pyramid (BC)
Adjacent side = base edge = 14 units
Apply the tangent ratio to find the height, BC:
tan 45 = BC/14
1 = BC/14
14 = BC
BC = 14 units
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