Int. Geometry
Unit Six Extra Problems
1.
Initially, a 25-foot ladder rests against a vertical wall such that the top of the
ladder is 24 feet from the ground. Then, Nathan moves the base of the ladder
farther out from the wall so that the top of the ladder slides down until resting
against the wall at a point 20 feet above the ground. Given the wall is
perpendicular to the ground, how far did Nathan move the base of the ladder?
2
Explain the mistake that the student made in the solving for x.
6
x
1
𝑥 " + 𝑥 + 2 " = 6"
𝑥 " + 𝑥 " + 4 = 36
2𝑥 " = 32
𝑥 " = 16
𝑥=4
x+2
3.
4.
A 48 foot flagpole cracked and fallen as if hinged. The top of the flagpole hit
the ground 24 feet from the base. An investigator wants to have a closer look at
the crack to find a possible cause. How far must the researcher climb?
In ΔABC , AB = 20, m∠A = 30 , and m∠C = 45 . Find BC.