Question

Khalil is 1.65 meters tall. At 3 p.m., he measures the length of a tree's shadow to be

34.55 meters. He stands 30.4 meters away from the tree, so that the tip of his shadow
meets the tip of the tree's shadow. Find the height of the tree to the nearest
hundredth of a meter.
1.65 m
30.4 m
34-55 m

Answer 1

To find the height of the tree, we can use the concept of similar triangles.

Step-by-step explanation:

To find the height of the tree, we can use the concept of similar triangles. We have a right triangle formed by Khalil, his shadow, and the tree's shadow. Let's call the height of the tree 'h'. Using the properties of similar triangles, we can set up the following proportion: (h - 1.65) / 30.4 = 1.65 / 34.55. Cross-multiplying and solving for 'h', we get h ≈ 18.90 meters.