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Virty [35]
3 years ago
12

The lengths of the sides of a rectangle are 12.4 and 26. What are the measures of the angles between its diagonals? Round your a

nswers to the nearest whole number.

Mathematics
1 answer:
makvit [3.9K]3 years ago
4 0

Answer:

  51°, 129°

Step-by-step explanation:

The ratio of the sides is the tangent of the angle a diagonal makes with the side of the rectangle. The smaller such angle will be

  arctan(12.4/26) ≈ 25.5°

The smaller of the angles between the diagonals will be twice this value, or 51°. Its supplement is the larger angle between the diagonals, 129°.

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