what is the distance from Philadelphia to Lancaster

Question

The bearings from lancaster to Reading is N 46 degrees E. The bearing from Reading to Philadelphia is S 44 degrees E. The bearing from philadelphia to lancaster to Lancaster S 83 degrees W. If the distance from lancaster to Reading is 65 miles , what is the distance from Philadelphia to Lancaster

Answer 1

Someone has confused "bearing" with "heading." Directions given are headings.

Draw and label a diagram.

LR = 65

∠LRP = 90°

∠RPL = 53°

sin 53° = 65/LP

 

Can you solve for LP?