The length (in feet) of the zip line would be 50 feet Round to the nearest tenth.
If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
An adventure company wants to run a zip line from the top of one building that is 95 feet tall to the top of another building that is 55 feet tall.
The two buildings are 30 feet apart.
Let X = The distance between buildings
Z = The length of the zip line
The difference in the length between the 2 buildings
D = L1 - L2
D=95-55
D=40 feet
we use Pythagoras' formula
[tex]D^2+X^2=Z^2[/tex]
[tex]40^2+30^2=Z^2\\\\Z^2 = 1600 + 900 \\\\Z^2 = 2500\\\\Z = 50[/tex]
Z=50 feet
Learn more about Pythagoras' theorem here:
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