Question

In each problem, angle C is a right angle. Solve each triangle rounding answers to the nearest
tenth.

a= 7.7 ft, b= 16 ft

Answer 1

9514 1404 393

Answer:

  c = 17.8, A = 25.7°, B = 64.3°

Step-by-step explanation:

Side c can be found from the Pythagorean theorem:

  c = √(a² +b²)

  c = √(7.7² +16²) = √315.29

  c ≈ 17.8 . . . feet

__

The tangent relation is ...

  Tan = Opposite/Adjacent

  tan(A) = a/b = 7.7/16

  A = arctan(7.7/16)

  A ≈ 25.7°

  B = 90° -25.7°

  B = 64.3°