Final answer:
To find the height of the tree, use the concept of similar triangles and trigonometry. The height of the tree is approximately 15.1m.
Step-by-step explanation:
To find the height of the tree, we can use the concept of similar triangles and trigonometry.
Let's assume the height of the tree as 'h'.
Since the sun is at an elevation of 40 degrees and the shadow length of the tree is 18m, we can set up the following equation:
Tan(40) = h/18
By rearranging the equation, we get:
h = 18 * Tan(40)
Using a calculator, we can find that the height of the tree is approximately 18 * 0.839 = 15.1m.