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°

Explanation:

Side c can be found from the Pythagorean theorem:

c = √(a² +b²)

c = √(7.7² +16²) = √315.29

c ≈ 17.8 . . . feet

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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°