Question

i have to find out if the triangles are similar and if so y

Answer 1

We will determine the height of the tree as follows:

*First: We take the height of Dave to just ft, that is:

We know that one feet has 12 inches, so:

$x=\frac{4\cdot1}{12}\Rightarrow x=\frac{1}{3}$

Now, we add that to the 6 feet:

$6+\frac{1}{3}=\frac{19}{3}=6.333\ldots$

So, his height is 19/3 ft.

Now, we determine the height of the tree as follows:

$\frac{15}{(\frac{19}{3})}=\frac{y}{66+15}$

Here y represents the height of the tree, now we solve for it:

$\frac{45}{19}=\frac{y}{81}\Rightarrow y=\frac{45\cdot81}{19}\Rightarrow y=\frac{3645}{19}$$\Rightarrow y\approx191.8$

So, the height of the tree is approximately 191.8 feet.