Let's draw a diagram to visualize the problem.
Where y is the height of the tree.
To find the height, we can use the tangent trigonometric reason which is the ratio between the opposite leg and the adjacent.
[tex]\tan (57)=\frac{y}{32}[/tex]
Solving for y, we have.
[tex]y=32\cdot\tan (57)\approx49.28[/tex]
Therefore, the height of the tree is 49.28 meters, approximately.
