unicorn2816 unicorn2816
  • 07-02-2021
  • Mathematics
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Solve the right triangle round your answer to the nearest tenth

Solve the right triangle round your answer to the nearest tenth class=

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akposevictor
akposevictor akposevictor
  • 12-02-2021

Answer/Step-by-step explanation:

✔️A = 180° - (50° + 90°) (sum of triangle)

A = 40°

✔️Find a:

Reference angle = 50°

Opposite = 17

Adjacent = a

Therefore, using trigonometric ratio, we have the following:

Tan 50 = 17/a

a = 17/tan 50

a = 14.3 (nearest tenth)

✔️Find c using Pythagorean Theorem:

c² = a² + b²

c² = 14.3² + 17²

c = √493.49

c = 22.2 (nearest tenth)

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