SOLUTION: Safety guidelines specify that a ladder should form an angle between 70° and 80° with the ground. If a ladder is 4 m long, determine the range of distances from the wall that th
Algebra ->
Trigonometry-basics
-> SOLUTION: Safety guidelines specify that a ladder should form an angle between 70° and 80° with the ground. If a ladder is 4 m long, determine the range of distances from the wall that th
Log On
Question 1181546: Safety guidelines specify that a ladder should form an angle between 70° and 80° with the ground. If a ladder is 4 m long, determine the range of distances from the wall that the foot of the ladder may be placed to fall within the safety guidelines? Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! Draw this:
Angle of 70 degrees has the ground distance the cosine of 70=x/4
x=4 cos 70=1.37 m
-
for angle of 80 degrees, the cosine to be less and x=4 cos 80=0.69 m
The range is (0.69 m, 1.37 m)