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=(4\cdot1)/(12)\Rightarrow x=(1)/(3)`

Now, we add that to the 6 feet:

`6+(1)/(3)=(19)/(3)=6.333\ldots`

So, his height is 19/3 ft.

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

`(15)/(((19)/(3)))=(y)/(66+15)`

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

`(45)/(19)=(y)/(81)\Rightarrow y=(45\cdot81)/(19)\Rightarrow y=(3645)/(19)`
`\Rightarrow y\approx191.8`

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