Answer/Step-by-step explanation:
Problem 1:
Reference angle = 36°
Opposite = x
Adjacent = 7
Thus, apply trigonometric ratio as follows:
tan 36 = x/7
Multiply both sides by 7
7 × tan 36 = x
x = 5.09 (nearest hundredth)
Problem 2:
Reference angle = 63°
Opposite = 12
Hypotenuse = x
Thus, apply trigonometric ratio as follows:
Sin 63 = 12/x
Make x the subject of the formula
x = 12/sin 63
x = 13.47 (nearest hundredth)