Question

Item 13

Answer 1

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