Answer:
Kurt is standing 24.03 ft. from the base of the pole
Step-by-step explanation:
Refer the attached figure .
Height of the pole = AB = 40 ft.
Since the bird is sitting on the top of the pole.
So, the angle of elevation from the ground where Kurt is standing to the bird = ∠ACB = 59°
We are required to find how far is Kurt standing from the base of the pole i.e. BC
So, we will use trigonometric ratio:
[tex]tan\theta = \frac{Perpendicular}{Base}[/tex]
[tex]tan59^{\circ}= \frac{AB}{BC}[/tex]
[tex]1.664= \frac{40}{BC}[/tex]
[tex]BC= \frac{40}{1.664}[/tex]
[tex]BC=24.03[/tex]
Thus BC = 24.03 ft.
Hence, Kurt is standing 24.03 ft. from the base of the pole
