Solve the triangle.

Mathematics

1 answer:

vekshin12 years ago

8 0

9514 1404 393

Answer:

b = 757.7 m
A = 17.2°
C = 14.3°

Step-by-step explanation:

From the law of cosines, you can find the length of side b to be ...

b = √(a² +c² -2ac·cos(B))

b = √(184041 +128164 -307164cos(148.5°)) ≈ √574105.36

b ≈ 757.7

From the law of sines, you can find the measure of angle C to be ...

C = arcsin(c/b·sin(B))

C ≈ arcsin(358/757.7·sin(148.5°)) ≈ arcsin(0.246872)

C ≈ 14.3°

A = 180° -148.5° -14.3°

A = 17.2°

_____

Some graphing calculators have built-in triangle-solving functions. Apps are available for the purpose for phone or tablet. The screenshot shows a web site that does a nice job of solving the triangle.

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