At noon a tree cast a shadow that is 40' long the distance from the top of the tree to the 1st tip of the shadow is 60' what is the height of the tree round to the nearest 100th

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