msammiejo msammiejo
  • 21-05-2018
  • Mathematics
contestada

The hypotenuse of right triangle abc line segment ac measures 13 cm

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missbianca
missbianca missbianca
  • 22-05-2018
This question seems to be incomplete but I have already encountered and answered this problem.

To complete the question:

The hypotenuse of right triangle ABC, line segment AC measures 13 cm. The length of line segment BC is 5cm.

What is the approximate difference between m ∠C and m∠A?

34.8
44.8
46.3
47.9

To solve:

cos (∠C) = 5/13
=0.38462
m∠C = cos^(-1) 0.38642
=67.4 degrees
m∠A = 90 degrees - 67.4 degrees
=22.6 degrees

m ∠ C - m∠A
=67.4 - 22.6 = 44.8 degrees

The answer is :

44.8 degrees

Answer Link

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