For chords that intersect inside a circle, we have the intersecting chords theorem, which states that the product of both colinear segments are equal to the products of the intersecting colinear segments meaning that:
So 12*4=8*x
We just have to clear x from the equation to get the value of X:
The Pythagorean theorem can be used for this. .. (tip distance)² = (shadow length)² + (tree height)² .. tree height = √((tip distance)² -(shadow length)²) .. tree height = √((60 ft)² -(40 ft)²) = √(2000 ft²) .. tree height ≈ 44.72 ft
