The distance between the pole flag and the endpoint of the shadow is 22.36 feet.
Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
A flagpole cast a 20-foot shadow on the ground perpendicular to its base.
The angle of elevation from the end of the shadow to the top of the flagpole is 30 feet.
By the Pythagoras theorem, we have
[tex]\rm H^2 = P^2+B^2[/tex]
The base is given as
[tex]\rm B^2= H^2 - P^2\\\\B^2 = 30^2 - 20^2 \\\\B^2 = 900 - 400\\\\B^2 = 500 \\\\B \ \ =22.36[/tex]
Thus, the distance between the pole flag and the endpoint of the shadow is 22.36 feet.
More about the trigonometry link is given below.
https://brainly.com/question/22698523
