We sketch two triangles, DFE and DGH, as shown below
Side DF correspond to side DG, the scale factor is 40÷32=1.25
Side DE correspond to side DH, the scale factor is 30÷24=1.25
That leaves us with the last corresponding sides, EF and HG which would also have a scale factor 1.25
Both triangles share the same angle D
We can conclude triangle DFE and triangle DGH are similar for property SSS and SAS
Answer:
3
Step-by-step explanation:
So we have the function:

To evaluate the value of f(-2), substitute -2 for x. Thus:

Square first:

Multiply:

Now, subtract:

So:

And we're done!
Cosα=x/L
x=Lcosα, we are told the ladder is 10ft and α=42.5 so
x=10cos42.5° ft
x≈7.37 ft (to nearest hundredth of a foot)