The hypotenuse of right triangle abc, line segment ac, measures 13 cm. the length of line segment bc is 5 cm. what is the approximate difference between m∠c and m∠a? 34.8° 44.8° 46.3° 47.9°

Explanation:

We have a right triangle with sides AB, BC=5cm and AC=13cm (the hypotenuse). Let's apply the Pithagorean Theorem to find AB:

 (1)

(2)

(3)

(4)

Now that we know the value of each side of the triangle, we will use the trigonometric function sine to find the angles C and A (angle B is remembering we are talking about a right triangle):

For angle C:

 (5)

 (6)

 (7)

For angle A:

 (8)

 (9)

 (10)

Calculating the difference between both angles: