The height of the tree is 60 meters.
Explanation:
Let the height of the tree be x. The tree casts a shadow of meters and the distance from the top of the tree to the end of the shadow is
meters.
The sides of the triangle are attached in the image below:
Using pythagoras theorem,
Expanding, we get,
Solving the equation using the quadratic formula , we get,
Simplifying, we have,
Thus,
and
where the value is not possible because substituting the value
in
results in negative solution. Which is not possible.
Hence, the value of x is 60.
Thus, The height of the tree is 60 meters.
