3 years ago

Two adjacent sides of a parallelogram

Mathematics

1 answer:

saveliy_v [14]3 years ago

5 0

Answer:

6748'

Step-by-step explanation:

The long diagonal is the third leg of a triangle with the given side lengths and an angle between them that is the supplement of the given angle. Its length can be found from the Law of Cosines.

a^2 = b^2 +c^2 -2bc·cos(A)

a^2 = 3473^2 +4822^2 -2·3473·4822·cos(180° -72.23°)

a^2 = 45,535,553.83

a ≈ 6748.004

The longer diagonal is about 6758 feet long.

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