Maths S.3

2010-04-08 3:00 am
Find the acute angle between the diagonals of a rectangle whose length and width are 12 cm and 9 cm respectively.












ans : 73.7 (degrees)

Please help :(

回答 (2)

2010-04-08 3:07 am
✔ 最佳答案
The actual angle between the diagonal and the width satisfies
tan x=12/9 or x=53.13

So the acute angle between the diagonals of a rectangle
=180-53.13-53.13
=73.7

HAVE A NICE DAY
2010-04-10 2:58 am
The length of the diagonal = √(12^2 + 9^2) = 15

cosθ = 9/15

θ = 53.13°

180° - 2(53.13°) = 73.7° (corr. to 3 sig. fig.)


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