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.

  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°.

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)