Question

A 28 ft ladder leans against a wall so that the base of the ladder is 7 ft away from the base of the wall. How far up the wall does the ladder reach.
Round your answer to the nearest tenth.

Answer 1

The top of the ladder is 27.5ft above the
ground.
^ 3.0
Step-by-step explanation:
The ladder makes an angle, 0 with the
ground thus forming a right angle triangle
with the wall of the house.
The length of the ladder represents the
hypotenuse of the right angle triangle.
The ground distance from the base of the
wall to the foot of the ladder represents the
adjacent side of the right angle triangle.
Therefore, to determine how high up is the
top of the ladder on the wall, ×, we would
apply Pythagoras theorem which is
expressed as
Hypotenuse?
2= opposite side? + adjacent
side?
282=×2+52
784 =×2 + 25
x2 = 784 - 25 = 759