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Answer: B 5 and 5 square root 3

Step-by-step explanation:

The lengths of the supporting beam are 17.4 yards and 10 yards

The diagonals represents the support beams for a patio covering.

According to the diagram, the whole sides is a rhombus.

Properties of a rhombus:

  • All the sides are equal.
  • Diagonals are perpendicular bisectors
  • Diagonals are angle bisectors

Let's find diagonal ME.

Using trigonometric ratios,

sin 60 = opposite / hypotenuse

sin 60 = OE / 10

OE = 10 sin 60

OE = 8.66025403784

OE = 8.7

ME = 2(8.7) = 17.4 yards

Let's find diagonal BA,

sin 30 = 0A / 10

OA = 10 sin 30

OA = 5 yards

BA = 2(5) = 10 yards

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