Answer :

The measure of angles are

  • ∠A = 24.61 degrees
  • ∠B = 90 degrees
  • ∠C = 65.39 degrees

The length of the hypotenuse of the right triangle = 11 inches

The length of the one leg = 10 inches

Then the length of the other leg is the square root of the sum of the hypotenuse square and one leg square

Then the equation will be

The length of the other leg = [tex]\sqrt{11^2-10^2}[/tex]

= [tex]\sqrt{121-100}[/tex]

= 4.58 inches

Therefore AC = 11 inches

AB = 10 inches

BC = 4.58 inches

The angle B = 90 degrees

Consider the angle A

cos θ = Adjacent side / hypotenuse

cos θ = 10 /11

θ = 24.61 degrees

Consider the angle C

cos θ = Adjacent side / Hypotenuse

cos θ = 4.58 / 11

θ = 65.39 degrees

Hence, the measure of angles are

  • ∠A = 24.61 degrees
  • ∠B = 90 degrees
  • ∠C = 65.39 degrees

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