Question

Philadelphia, Pennsylvania is 415 miles directly east of Columbus, Ohio. The bearing from Columbus to Richmond, Virginia is S 60° E. The bearing from Philadelphia to Richmond is S 34° W. Find the distance from Columbus to Richmond to the nearest mile.

Answer 1

Answer: distance from Columbus to Richmond is 345 miles

Explanation:

Sum of angles in a triangle

A + B + C = 180

30° + 56° + C = 180°

C = 180° - 86°

C = 94°

USING SINE RULE:

a/SinA = b/SinB = c/SinC

b/SinB = c/SinC

b/Sin56° = 415/Sin94°

bSin94° = 415 × Sin 56°

b = 344.05059 ÷ 0.9975640

b = 344.89

b = 345 miles (to the nearest mile)

distance from Columbus to Richmond is 345 miles

Answer 2

345 miles

Explanation:

Please refer to the attached image for explanations