Answer:
Step-by-step explanation:
1) From the given right angle triangle,
22 represents the hypotenuse of the right angle triangle.
With m∠21 as the reference angle,
x represents the opposite side of the right angle triangle.
To determine x, we would apply
the Sine trigonometric ratio.
Sin θ = opposite side/hypotenuse. Therefore,
Sin 21 = x/22
x = 22 Sin 21 = 22 × 0.3584
x = 7.9
2) From the given right angle triangle,
RS represents the hypotenuse of the right angle triangle.
With m∠S as the reference angle,
x represents the adjacent side of the right angle triangle.
To determine x, we would apply
the Cosine trigonometric ratio.
Cos θ = adjacent side/hypotenuse. Therefore,
Cos 33 = x/15
x = 15 Cos 33 = 15 × 0.8387
x = 12.6
3) From the given right angle triangle,
AB represents the hypotenuse of the right angle triangle.
With m∠A as the reference angle,
x represents the adjacent side of the right angle triangle.
y represents the opposite side of the right angle triangle.
To determine x, we would apply
the Cosine trigonometric ratio.
Cos θ = adjacent side/hypotenuse. Therefore,
Cos 32 = x/10
x = 10 Cos 32 = 10 × 0.848
x = 8.5
To determine y, we would apply
the Sine trigonometric ratio.
Sin θ = opposite side/hypotenuse. Therefore,
Sin 32 = y/10
y = 10 Sin 32 = 10 × 0.5299
y = 0.53
