Answer:
1. x = 11√2
2. y = 11
Explanation:
1. Determination of x.
Angle θ = 45°
Opposite = 11
Hypothenus = x =?
The value of x can be obtained by using the sine ratio as illustrated below:
Sine θ = Opposite / Hypothenus
Sine 45 = 11 / x
1 /√2 = 11 / x
Cross multiply
x = 11√2
2. Determination of y
Angle θ = 45°
Opposite = 11
Adjacent = y =?
The value of y can be obtained by using Tan ratio as illustrated below:
Tan θ = Opposite / Adjacent
Tan 45 = 11 / y
1 = 11 / y
Cross
y = 11