Trigonometry question: For the point A (5; 0) and B (7;3) calculate the angle between AB and the x-axis.The answer given in the book is as follows:56.3 degrees

1 Answer | Add Yours

durbanville's profile pic

durbanville | High School Teacher | (Level 2) Educator Emeritus

Posted on

Sorry but I'm only permitted to answer your first question. Please post each of the others as individual questions and then they will be answered promptly.

A is at point (5;0) which means it is on the x-axis. B is at (7;3).

Draw a triangle along a set of axes marking A  at (5;0). Then at (7;0) on the same axis plot a point - call it C if you like. From C  draw a vertical line up until you reach (7;3) and mark point B. Now join A and B. Your 90 degree angle is at point C.

The distance from A to C is 2 units (7 - 5) and the distance from C to B is 3 units (from x-axis to 3).

Therefore tan theta = 3/2.

Use the shift key or 2nd function key on your calculator and you will get

tan theta = 56,3 degrees.  

We’ve answered 318,974 questions. We can answer yours, too.

Ask a question