Let the three sides of a right triangle be designated a b an

Let the three sides of a right triangle be designated a, b, and c where c is the hypoteneuse. If c = 4, and if the angle between c and b is = 20°, find the lengths of the other two sides.

Solution

Solution:

Given c = 4, and the angle between c and b is = 20°

sin = opposite/hypotenuse and cos=adjacent/hypotenuse.

where opp. = a, adjacent = b and hypotenuse = c

Sin(20°) = a/c = a/4 => a = 4 Sin(20°) = 1.3681

Cos(20°) = b/c = b/4 => b = 4cos(20°) = 3.7587