Asked by shelby
a rectangle is 80 cm long and 20 cm wide. find, to the nearest degree, the acute angle formed at the intersections of the diagonals.
Answers
Answered by
drwls
The diagonal forms a hypotenuse with a length sqrt[80^2 + 20^2] = 82.462
The acute angle formed at the corner is arctan 20/80 = 14.036 degrees. Where the diagonals cross, the acute angle is twice that, or 28.072 degrees. Round that to 28 degrees.
The acute angle formed at the corner is arctan 20/80 = 14.036 degrees. Where the diagonals cross, the acute angle is twice that, or 28.072 degrees. Round that to 28 degrees.
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