Answer:
y is 0.629 times as large as r
x is 0.778 times as large as r
y = 4.403
x = 5.446
Explanations:
From the right-angled triangle shown:
The opposite is the side facing the angle θ
Opposite = y
The Hypotenuse is the longest side of the triangle
Hypotenuse = r
The Adjacent is the third side
Adjacent = x
Suppose sinθ = 0.629
r = 7
[tex]\begin{gathered} \sin \theta\text{ = }\frac{Opposite}{\text{Hypotenuse}} \\ 0.629\text{ = }\frac{y}{r} \\ 0.629\text{ = }\frac{y}{7} \\ y\text{ = 7(0.629)} \\ y\text{ is 0.629 times as large as r} \\ y\text{ = }4.403 \end{gathered}[/tex]
Suppose that cos θ = 0.778
and r = 7
[tex]\begin{gathered} \cos \theta\text{ = }\frac{Adjacent}{\text{Hypotenuse}} \\ 0.778\text{ = }\frac{x}{r} \\ 0.778\text{ = }\frac{x}{7} \\ x\text{ = 0.778(7)} \\ x\text{ is 0.778 times as large as r} \\ x\text{ = }5.446 \end{gathered}[/tex]
