Answer:
x = 3
Explanation:
First, use trigonometric function to find RT.
θ = 60°
Opposite = 2√3
Hypotenuse = RT
Apply SOH:
Sin θ = Opp/Hyp
Plug in the values
Sin 60° = 2√3/RT
RT*Sin 60° = 2√3
Divide both sides by Sin 60°
RT = 2√3/sin 60°
RT = 2√3 × √3/2 (sin 60° = √3/2)
RT = (2√3 × √3)/2
RT = (2 × 3)/2
RT = 3
✔️Find x
θ = 45°
Opposite = x
Adjacent = 3
Apply TOA:
Tan θ = Opp/Adj
Substitute
Tan 45° = x/3
3 × Tan 45° = x
3 × 1 = x (tan 45° = 1)
3 = x
x = 3