Question

Johnny walks due north for 2 miles. He turns right and walks due east for 4 miles. After those 4 miles, he turns and walks in a straight line back to his starting point. Find the measure of the angle formed when he made his last turn.

Answer 1

26.6°

Explanation:

The trajectory forms a right triangle

The first section traveled represents a leg of 2 miles, the second section is the other leg and measures 4 miles.

The path back to the starting point represents the hypotenuse of the triangle.

The angle:

Use the tangent function.

`tan\alpha =(2)/(4)`

`\alpha =tan^(-1)( (2)/(4) )=tan^(-1) (0.5)=26.6^(0)`

Hope this helps

Answer 2

Since Johnny walks due north for 2 miles and then turns right to walk due east for 4 miles, he forms a right-angled triangle with sides of length 2 and 4.