Answer:
[tex]d=\sqrt{26}\ m[/tex] or [tex]d=5.1\ m[/tex]
Step-by-step explanation:
The question in English is
Juan built a ramp that is 5 m long and 1 m high. How much is the distance (d) he travels when he climbs the ramp?
let
x -----> the length of the ramp
y ----> the height of the ramp
d ----> the distance Juan travels when he climbs the ramp
we know that
Applying the Pythagoras Theorem
[tex]d^{2}=x^{2}+y^{2}[/tex]
we have
[tex]x=5\ m[/tex]
[tex]y=1\ m[/tex]
substitute the given values
[tex]d^{2}=5^{2}+1^{2}[/tex]
[tex]d^{2}=26[/tex]
[tex]d=\sqrt{26}\ m[/tex] -----> exact value
[tex]d=5.1\ m[/tex] ----> approximate value
