Answer/Step-by-step explanation:
A1. Reference angle = 41°
Hypotenuse = x
Adjacent = 7
Thus, applying trigonometric ratio, we would have:
Cos 41 = 7/x
Multiply both sides by x
x × cos 41 = 7
Divide both sides by cos 41
x = 7/cos 41
x = 9.3 (nearest tenth)
A2. Reference angle = 65°
Hypotenuse = 6
Opposite = y
Thus, applying trigonometric ratio, we would have:
Sin 65 = y/6
Multiply both sides by 6
6 × sin 65 = y
5.4 = y (nearest tenth)
y = 5.4
A3. Reference angle = 50°
Hypotenuse = z
Opposite = 8
Thus, applying trigonometric ratio, we would have:
Sin 50 = 8/z
Multiply both sides by z
z × sin 50 = 8
Divide both sides by sin 50
z = 8/sin 50
z = 10.4 (nearest tenth)
B1. Reference angle = 49°
Hypotenuse = x
Opposite = 7
Thus, applying trigonometric ratio, we would have:
Sin 49 = 7/x
Multiply both sides by x
x × sin 49 = 7
Divide both sides by sin 49
x = 7/sin 49
x = 9.3 (nearest tenth)
B2. Reference angle = 25°
Hypotenuse = 6
Adjacent = y
Thus, applying trigonometric ratio, we would have:
Cos 25 = y/6
Multiply both sides by 6
6 × cos 25 = y
y = 5.4 (nearest tenth)
B3. Reference angle = 40°
Hypotenuse = z
Adjacent = 8
Thus, applying trigonometric ratio, we would have:
Cos 40 = 8/z
Multiply both sides by z
z × cos 40 = 8
Divide both sides by cos 40
z = 8/cos 40
z = 10.4 (nearest tenth)
