Applying the cosine ratio, the length of the larger diagonal is: 77.6 units.
How to Apply the Cosine Ratio?
Cos ∅ = opposite/adjacent, is the cosine ratio used to solve a right triangle.
The rhombus is divided into four right triangles by the two diagonals. Therefore, the smaller angle 28° would be divided into 14° each.
Thus, part of the larger diagonal of the rhombus would be represented as a, which is the adjacent side to 14°.
Applying the cosine ratio, we have the following:
cos 14 = a/40
a = (cos 14)(40)
a = 38.8
Length of the larger diagonal = 2a = 2(38.8) = 77.6 units.
Learn more about the cosine ratio on:
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