A swamp separates points L and R. To determine the distance between them, Ciana stands at L and looks toward R. She turns about 45° and walks 52 paces from L to point P. From P, she looks at R and estimates that LPR is about 60°. How many paces is it from L to R?
Include a diagram.
An observation helicopter using a laser device determines that the helicopter is 1800 m from a boat in distress. The helicopter is 1200 m from a rescue boat. The angle formed between the helicopter and the two boats is 35°. How far apart are the boats? Include a diagram.
L 45 75 R
Angle LRP = 180 - 60 - 45 = 180 - 105 = 75°
Using the Law of Sines, we have that
52/sin(75°) = LR / sin(60°)
LR = 52*sin(60°) /sin (75°) ≈ 47 paces