Answer:
x = 6/√3
y = 3/√3
Step-by-step explanation:
For a triangle rectangle with a known angle θ, we have the relations:
Sin(θ) = (opposite cathetus)/(hypotenuse)
Cos(θ) = (adjacent cathetus)/(hypotenuse)
Tan(θ) = (opposite cathetus)/(adjacent cathetus)
For this triangle, we know an angle:
θ = 60°
And the opposite cathetus measures 3 units.
The adjacent cathetus is y.
The hypotenuse is x.
To find the value of x, we can use the Sin equation:
Sin(60°) = 3/x
x = 3/sin(60°) = 3.46 = 3*2/√3 = 6/√3
And we can use the Tan relation to find the value of y.
Tan(60°) = 3/y
y = 3/Tan(60°) = 1.73 = 3/√3
For x he didn't divide by √3, while for y he multiplied by √3 instead of dividing by √3.
