Isadora Isadora
  • 21-10-2024
  • Mathematics
High School

In ΔRST, the measure of ∠T is 90°, the measure of ∠S is 75°, and ST is 97 feet. Find the length of TR to the nearest tenth of a foot.

Answer :

sqdancefan sqdancefan
  • 24-10-2024

9514 1404 393

Answer:

TR = 362.0 ft

Step-by-step explanation:

The tangent relation is useful for this.

Tan = Opposite/Adjacent

tan(75°) = TR/ST = TR/(97 ft)

TR = (97 ft)(tan(75°))

TR ≈ 362.0 ft

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