Law of Sines: Examples (continued)
The Law of Sines is also very useful for real world situations and their solutions. For example:
A cable car in Century City takes tourists up to a mountain so they can view the city. The track used by the cable car has an angle of elevation of 35°. The angle of elevation to the top of the track from a point 80 feet from the base of the track is 27°. Find the length of the track (round to the nearest tenth).
The first step is to draw a diagram:
The missing angle can be found by:
Y = 180° - (145° + 27°) = 8°
Using the Law of Sines:
