Problem Solving with Trigonometry
Do the following when solving trigonometry word problems… 1.Draw a picture. 2.Decide which trigonometry formula you must use. 3.Solve the word problem. SOH – CAH – TOALAW OF SINES LAW OF COSINESSAS TRIANGLE AREA Right Triangle Ratios
A large helium balloon is tethered to the ground by two taut lines. One line is 100 feet long and makes an 80 ° angle with the ground. The second line makes a 40 ° angle with the ground. How long is the second line, to the nearest foot? How far apart are the tethers? 80°40° 100 ft x x = 153 ft 60° y = 135 ft y
A ship’s sonar locates a treasure chest at a 12 ° angle of depression. A diver is lowered 40 meters to the ocean floor. How far (to the nearest meters) does the diver need to swim along the ocean floor to get the treasure chest? 12° 40 m x x = 188 m
Farmer Joe needs to fence his triangular plot of land for his cows. The angle between two sides measures 83°. One side is 122 ft and the other is 215 ft. How much fencing does farmer Joe need to the nearest foot? What is the area of his plot of land? 83 ° 122 ft 215 ft x234 ft 571 ft Area = ft 2
Homework Mixed Trig Application Problems Worksheet