Answer:
[tex]DF = 56.4[/tex]
Step-by-step explanation:
Given
See attachment for tree and the stake
Required
The height of the tree
From the attachment, the height is represented by DF.
DF is calculated using the following equivalent ratios
[tex]AC:CB = DF:FE[/tex]
This gives:
[tex]5.6:4.2 = DF:42.3[/tex]
Express as fraction
[tex]\frac{5.6}{4.2} = \frac{DF}{42.3}[/tex]
Solve for DF
[tex]DF = \frac{5.6}{4.2} *42.3[/tex]
[tex]DF = \frac{5.6*42.3}{4.2}[/tex]
[tex]DF = \frac{236.88}{4.2}[/tex]
[tex]DF = 56.4[/tex]
