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Angle A = 52° 15' = 52 25° therefore angle B = 90 - 52.25 = 37.75°.

Using the Sine Rule : a/sin A = b/sin B.

6.7808/sin 52.25 = b/sin 37.75 : b = 6.7808 sin 37.75 ÷ sin 52.25 = 5.2503

Either using the Sine Rule or Pythagoras gives the length of the hypotenuse as 8.5758

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