Question

If the ladder is 10 m long and 5 m from the base of the building, how high up the building will the ladder reach?

(1 point)
Responses

102+52=c2
; c = 125 m, which is a rational, whole number
10 squared plus 5 squared is equal to c squared ; c = 125 m, which is a rational, whole number

52+x2=102
; x = 75 m, which is a rational, whole number
5 squared plus x squared is equal to 10 squared ; x = 75 m, which is a rational, whole number

52+x2=102
; x = √75 m, which is an irrational number and would be estimated to be 8.7 m.
5 squared plus x squared is equal to 10 squared ; x = √75 m, which is an irrational number and would be estimated to be 8.7 m.

102−−−√+52=c2
; c = √125, which is an irrational number and must be estimated at 11.2 m.

Answer 1

102+52=c2
10 squared plus 5 squared is equal to c squared; c = 125 m, which is a rational, whole number

Therefore, the ladder will reach a height of 125 meters up the building.