Question

The hypotenuse of a right traingle ABC, line segment AC, measures 13 cm. The length of line segment BC is 5cm. What is the approximate difference between m angle C and m angle A

Answer 1

The difference between m∠C and m∠A = 44.76°

Explanation:

In ΔABC

∵ AC is the hypotenuse

∴ m∠B = 90°

∵ AC = 13 cm , BC = 5 cm

By using the trigonometry functions

∴ cos∠C = 5/13

∴ m∠C =
`cos^(-1) (5)/(13)` = 67.38°

∵ m∠A + m∠C = 90

∴ m∠A = 90 - 67.38 = 22.62

∴The difference between m∠C and m∠A = 67.38 - 22.62 = 44.76°