Trigonometric Ratios

Question

If point A is 54 feet from the tree, and the angle between the ground at point A and the top of the tree is 25 degrees, find the height of the tree.

Answer 1

The distance between point A and the tree represents the horizontal leg of the triangle.

The height is the tree represents the vertical leg of the triangle.

 

Based on the information given to us, we need to use tangent.

 

tan(25) = (height of tree) / (distance between point A and the tree)

 

 

Solve for (height of the tree).