Given:
Height of Isabelle = 62 inches
Shadow of Isabelle = 93 inches
Shadow of tree = 279 inches
To find:
The height of the tree.
Solution:
Let height of tree be x.
Ratio of height to shadow for Isabelle and tree are
[tex]\dfrac{\text{Height of Isabelle}}{\text{Shadow of Isabelle}}=\dfrac{62}{93}[/tex]
[tex]\dfrac{\text{Height of tree}}{\text{Shadow of tree}}=\dfrac{x}{279}[/tex]
The shadow of Isabelle and tree are proportional to their shadows. So, both ratios must be equal.
[tex]\dfrac{x}{279}=\dfrac{62}{93}[/tex]
Multiply both sides by 279.
[tex]x=\dfrac{62}{93}\times 279[/tex]
[tex]x=62\times 3[/tex]
[tex]x=186[/tex]
Therefore, the height of tree is 186 inches.
