Final answer:
To find the height of the tree, set up a proportion using Tonya's height and shadow length. Multiply Tonya's height by the length of the tree's shadow and divide by Tonya's shadow length to find the height of the tree.
Step-by-step explanation:
To determine the height of the tree, we can set up a proportion using the heights of Tonya and her shadow. Since Tonya is 1.3m tall and her shadow is 1.8m long, we can let x represent the height of the tree. The proportion would be:
Tonya's height / Length of Tonya's shadow = Height of tree / Length of tree's shadow
Plugging in the values, we get:
1.3m / 1.8m = x / 7m
Solving for x, we multiply 1.3 by 7 and divide by 1.8, giving us x ≈ 5.07m. Therefore, the tree is approximately 5.07 meters tall.