Inverse trig word problems

The  exercise appears under the Trigonometry Math Mission. This exercise practices inverse trigonometric functions in real-life context-driven situations.

Types of Problems
There is one type of problem in this exercise:


 * 1) Use the inverse trig functions to find the value: This problem has a contextual situation that can be solved using inverse trigonometric functions. The student is expected to find the value of the angle rounded to the specified degree of accuracy.Itwp1.png

Strategies
Knowledge of the trig ratios and a scientific calculator are encouraged to ensure success on this exercise.
 * 1) The answers are not convenient so a calculator is necessary. Answers are generally rounded to two decimals places.
 * 2) The SOH-CAH-TOA ratios are useful for setting up the initial equation.

Real-life Applications

 * 1) Trigonometry has applications in physics for many different types of motion and acceleration.
 * 2) Trigonometry is used in navigation especially for planes and boats.
 * 3) Inverse trigonometry in particular is valuable for undoing trigonometric functions to find angles.
 * 4) The problems in this exercise are real-life applications.