Question
A ladder is placed against a wall, with its base 2 m from the wall. The ladder touches the top of a 2 m fence that is 1.5 m from the wall. How high up the wall does the ladder reach?
Thanks for answering! Your help is greatly appreciated.
Thanks for answering! Your help is greatly appreciated.
Answers
bobpursley
Draw the figure.
Use proportion.
.5/2=2/h
Use proportion.
.5/2=2/h
lorel
The two triangles are similar because they both have a right angle and they share another angle. The triangle is similar through AA~.
H 2 = H= 2 X 1.33= 2.66
2 = 1.5 H=2.66
Therefore, the ladder reaches 2.66m up the wall.
H 2 = H= 2 X 1.33= 2.66
2 = 1.5 H=2.66
Therefore, the ladder reaches 2.66m up the wall.