A 50 foot ladder is set against the side of a house so that it reaches up 48 feet. If Shaniece grabs the ladder at its base and
pulls it 10 feet farther from the house, how far up the side of the house will the ladder reach now? Round to the nearest tenth of a foot.
2 answers:
Answer: 43.9
Step-by-step explanation:
a
2
+
(
24
)
2
=
a
2
+(24)
2
=
5
0
2
50
2
Use the Pythagorean Theorem.
a
2
+
576
=
a
2
+576=
2500
2500
Simplify.
−
576
−576=
−
576
−576
Subtract 576 from both sides.
a
2
=
a
2
=
1924
1924
a
2
=
a
2
=
±
1924
±
1924
Square root both sides.
a
=
a=
43.863424...
43.863424...
Simplify. Ignore negative root, as length must be positive.
a
≈
a≈
43.9
43.9
Round to the nearest tenth.
Answer:
43.9
Step-by-step explanation:
yes
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