Respuesta :

Answer:

u = 20cm

Step-by-step explanation:

Hello,

The diagram above is a right angle triangle and we can solve for u using trigonometric ratio

From the diagram,

Angle θ = 60°

Opposite = 10√3

Sinθ = opposite/ hypothenus

Opposite = 10√(3)

Hypothenus = u

θ = 60°

Sin60 = 10√(3) / u

u = 10√(3)/sin60

u = 10√(3) ÷ √(3)/2

u = 20√(3)/√(3)

We can further solve this using surds rule

u = 20√3 ÷ √3 / √(3) / √(3)

u = 20√(3*3) / √(3*3)

u = (20 × 3) / 3

u = 20cm