Question

I have no idea how to even begin with this

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:

$\sf\dfrac{1.65}{4.15}=\dfrac{x}{16.60}$

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.