Question

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 answers to the nearest whole number.

Answer 1

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°.