Answer:
4√3 ft²
Step-by-step explanation:
Area of the garden = ½*b*h
b = 4ft
To find h, apply trigonometric function:
Reference angle = 60°
Opposite = h
Hypotenuse = 4 ft
Apply SOH:
Sin 60° = Opp/Hyp
Sin 60 = h/4
4*sin 60 = h
4*√3/2 = h (sin 60 = √3/2)
2*√3 = h
h = 2√3
Find the area:
Area = ½*b*h
= ½*4*2√3
= 4√3 ft²