Final answer:
To determine the height of the tree, we establish a ratio using similar triangles formed by Samir and the tree with their respective shadows. By setting up the proportion 1.85 meters (Samir's height) over 26.2 meters (his distance from the tree) equal to the tree's height over its 30.45-meter shadow, we solve for the tree's height and find it to be approximately 2.1589 meters.
Step-by-step explanation:
To find the height of the tree, we can use similar triangles. Samir's height and the tree's height form two triangles with their respective shadows.
We know that Samir is 1.85 meters tall, and his distance from the tree is 26.2 meters. We also know that the length of the tree's shadow is 30.45 meters. Assuming the tree is straight and the ground is level, the ratios of the heights to the lengths of the shadows will be the same.
The ratio for Samir is:
Height of Samir / Distance from the tree = 1.85 / 26.2
The ratio for the tree is:
Height of tree / Shadow of tree
Since the ratios are equal, we have:
1.85 / 26.2 = Height of tree / 30.45
Now, solve for the Height of tree:
Height of tree = (1.85 / 26.2) * 30.45 = 2.1589 meters (approximately)