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26.03.2021 •
Mathematics
A rectangle is 60 cm long and 20 cm wide. Find, to the nearest tenth of a degree, the acute angle formed at the intersection of the diagonals.
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Ответ:
36.9°
Step-by-step explanation:
As shown in the diagram attached,
θ is the acute angle formed at the intersection of the diagonals of the rectangle.
From the diagram,
tan(θ/2) = 10/30
tan(θ/2) = 1/3
θ/2 = tan⁻¹(1/3)
θ/2 = 18.43
Therefore,
θ = 18.43×2
θ = 36.87
θ = 36.9°
Hence the acute angle formed is 36.9°
Ответ: