answer:
the answer is A, 5.7ft
step by step:
use trig, 7 is hypotenuse, 4 is opposite, theta(angle) is against wall. you have opp and hyp, sOH cah toa, so use sin. sinø=opp/hyp=4/7
therefore ø= sin^-1(4/7)= 34.85°
onto the next triangle with the ten foot ladder. since she wants it at the same angle from the wall,use 34.85°. you have the hypotenuse, the ladder, 10ft. so you once again use sin.
sin(34.84°) = opp/hyp
rearrange for opposite, the length from the house to the base of the ladder.
opp= sin(34.85°)(10)
opp=5.733ft, then round to 5.7ft.