1 Answer

Shiva Wu · Answer 1 · 2023-07-28T19:30:27+0000

Answer:

Explanation:

As ABCD is a rectangle, ∠A = 90°.

Diagonal BD will be the hypotenuse.

$Sin \ 53^( \circ) = \sf (opposite \ of \ angle \ 53)/(hypotenuse)\\\\\\0.7986=(AB)/(42.3)\\\\\\0.7986*42.3=AB\\\\\bold{AB = 33.8}$

Length = AB = 33.8 cm

$\sf Cos \ 53^( \circ) =(adjacent \ side \ to \ angle \ 53)/(hypotenuse)\\\\\\0.6018 = (AD)/(42.3)\\\\\\0.6018*42.3 =AD\\\\\bold{AD = 25.5 }$

Width = 25.5 cm

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