Find Sides Given an Angle

In many real life situations you may know the length of one of the sides of a right angled triangle and also size of an angle; and it would be useful to calculate the length of the other sides. This is where trigonometry can be used. Test your knowledge by solving the problems below before pressing the solution button. Note, triangles are not drawn to scale.

Write an Equation

that includes the unknown side x and the known side.

Make x the subject

Evaluate

using a calculator. The final answer has been rounded to 2 decimal places. Round the final answer, and not during any intermediate steps in the algebra.

Find Angle Given two Sides

Write an Equation

that includes the known sides.

calculate using the inverse trigs function on your calculator.

Evaluate

using a calculator. The final answer has been rounded to 2 decimal places. Round the final answer and not during any intermediate steps in the algebra.

Discussion

Trigonometry can be very useful for many real life situations, however one needs a calculator to solve basic trigonometry problems. The graph of trigonometric functions shall be studied in the next page, this is very interesting in it's own right but it also has many applications for physical systems involving wave like phenomena.