We start by using the Pythagorean theorem to find the length of the diagonal of the rectangle:
d² = (2.2m)² + (8m + 2.2m)²
d² = 4.84m² + 72.36m²
d² = 77.2m²
d ≈ 8.79m
Next, we can use trigonometry to find the angle between the diagonal and the shorter side of the rectangle. Let's call this angle θ. We can use the cosine function to do this:
cos(θ) = adjacent / hypotenuse
cos(θ) = 2.2m / 8.79m
θ = cos⁻¹(0.25)
θ ≈ 75.52°
Therefore, the angle between the diagonal and the shorter side of the rectangle is approximately 75.52 degrees.
A rectangle has sides of length 2.2m and 8m longer calculate the angle between a diagonal
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