Respuesta :
The shape formed between you and the dam with those measurements makes a triangle. The base is 400ft, and the hypotonuse is 965ft.
If you do [tex]965^{2} [/tex] - [tex]400^{2} [/tex] and root what you get, you get the answer of 878.1941ft
If you do [tex]965^{2} [/tex] - [tex]400^{2} [/tex] and root what you get, you get the answer of 878.1941ft
Answer:
878.1941ft
Step-by-step explanation:
When you are standing in that position, you are making a 90º triangle with the hipotenuse of the trangle being 965 feet, and the base of the triangle would be 400 feet.
The laws of triangles dictate that the sum of both squared sides equals the hiponetnuse squared. The formula would be like this
[tex]965^{2} = 400^{2} +Height^{2}[/tex]
If you clear the height you´d get:
[tex]Height^{2} =900^{2}- 400^{2}[/tex]
You clear the height and it will end up like this:
Height=[tex]\sqrt{900^{2}- 400^{2}[/tex]
Height= 878.19 feet.