Answer:
[tex]\frac{6}{h} = \frac{10}{40}[/tex]
Step-by-step explanation:
Given
The attached image
Required
The proportion of the height of the tree
Represent the height of the tree with h.
To solve for h, we make use of the following equivalent ratio
[tex]40 : h = 10 : 6[/tex]
Express as fraction
[tex]\frac{40 }{ h }= \frac{10 }{ 6}[/tex]
Cross multiply
[tex]40 * 6 = 10 * h[/tex]
Divide by 40h
[tex]\frac{40 * 6}{40h} = \frac{10 * h}{40h}[/tex]
[tex]\frac{6}{h} = \frac{10}{40}[/tex]
