All rational numbers are real numbers

yes they are!

Step-by-step explanation:

The real numbers include natural numbers or counting numbers, whole numbers, integers, rational numbers (fractions and repeating or terminating decimals), and irrational numbers. The set of real numbers is all the numbers that have a location on the number line.

It makes a 74 degree angle.

The sides of the triangle that are given are the side adjacent to the angle the ladder makes with the ground and the hypotenuse of the triangle.  

adjacent/hypotenuse is the ratio for cosine:

cos x = 7/25

To solve this, we will take the inverse cosine:

x = cos⁻¹(7/25) = 73.7 = 74