Respuesta :
The angle the sun is shining on the building with length of 62 feet and shadow of 21 meters is 42 degrees.
The situation forms a right angle triangle.
What is a right angle triangle?
A right angle triangle has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios.
Therefore,
The height of the building is the opposite side of the triangle.
The shadow length is the adjacent side of the triangle.
Therefore,
tan ∅ = opposite / adjacent
62 feet = 18.8976
tan ∅ = 18.8976 / 21
tan ∅ = 0.89988571428
∅ = tan⁻¹ 0.89988571428
∅ = 41.9835944258
∅ = 42°
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