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In ΔSTU, the measure of ∠U=90°, US = 5.9 feet, and TU = 2.6 feet. Find the measure of ∠T to the nearest tenth of a degree.

Sagot :

mhanifa

Answer:

  • 66.2°

Step-by-step explanation:

ΔSTU is a right triangle.

US and TU are legs, SU is opposite to ∠T.

Use tangent to find the measure of ∠T.

  • tan ∠T = 5.9 / 2.6
  • tan ∠T = 2.269
  • m∠T = arctan (2.269) = 66.2° (rounded)

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