Answer
Find out the length of the pole .
To proof
As given
The pole casts a 12-foot shadow when the sun is at a 40° angle of elevation.
x represented the length of pole .
As shown in the diagram
By using the trignometric identity
[tex]tan \theta = \frac{Perpendicular}{Base}[/tex]
[tex]tan 40^{\circ} = \frac{x}{12}[/tex]
tan40° = 0.839099631 ( approx )
Put in the above
x = 12 × 0.839099631
x = 10.1 foot (approx)
Therefore the length of the pole in 10.1 foot (approx) .
