Question

I have no idea how to even begin with this

if you could show work with the answer I would be truly greatful, thanks kind answerer

Answer 1

We have two similar triangles, the one as a whole and the one inside of it. To calculate the height of the flagpole we can set up a proportion. First calculate the length of the base of the smaller triangle.

16.60 - 12.45 = 4.15m

The height is 1.65m, set up a proportion:


`\sf(1.65)/(4.15)=(x)/(16.60)`

Cross multiply:


`\sf 27.39=4.15x`

Divide 4.15 to both sides:


`\sf x=\boxed{\sf 6.6m}`

So the height of the flagpole is 6.6 meters tall.