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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.

User Csaba
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1 Answer

5 votes

Answer:

36.9°

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°

A rectangle is 60 cm long and 20 cm wide. Find, to the nearest tenth of a degree, the-example-1
User Eveevans
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