Answer:
1. The value of x is 9.4.
2. The value of y is 17.7.
Step-by-step explanation:
The following data were obtained from the question:
Angle θ = 32°
Hypothenus = y
Opposite = x
Adjacent = 15
1. Determination of the value of x.
The value of x can be obtained as follow:
Angle θ = 32°
Opposite = x
Adjacent = 15
Tan θ = Opposite /Adjacent
Tan 32° = x/15
Cross multiply
x = 15 × Tan 32°
x = 9.4
Therefore, the value of x is 9.4
2. Determination of the value of y.
The value of y can be obtained as follow:
Angle θ = 32°
Hypothenus = y
Adjacent = 15
Cos θ = Adjacent /Hypothenus
Cos 32° = 15/y
Cross multiply
y × Cos 32° = 15
Divide both side by Cos 32°
y = 15/Cos 32°
y = 17.7
Therefore, the value of y is 17.7.
