Answer:
please see answer below
Explanation:
angle C is 180 - 90 - 33 = 57°.
In a right-angled triangle, a ² + b ² = c ².
Sine rule: a/SIN A = b/SIN B = c/SIN C
so, length of AB is:
AB/sin 57 = 7/sin 90
cross multiply:
AB = (7 sin 57) / sin 90
= 5.87 inches to nearest hundredth
The side AB is the 'opposite' of angle C. BC is the 'adjacent.' AC is ALWAYS the hypotenuse. Since we wanted to find AB, and we had the length of the hypotenuse, we use Sine.
Sin 57 = opposite/hypotenuse = AB/7. AB = 7 sin 57.