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

Question

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] · Answer 1 · 2022-03-29T10:48:09+03:00

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°.