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EXAMPLE 2 Standardized Test Practice
SOLUTION
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EXAMPLE 2 Standardized Test Practice
Find positive square root.
Substitute.
Multiply.
Subtract 16 from each side.
SOLUTION
Approximate with a calculator.
162 = 42 + x2
256 = 16 + x2
15.491 ≈ x
240 = x
240 = x2
ANSWER
The ladder is resting against the house at about 15.5 feet above the ground.
The correct answer is D.
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GUIDED PRACTICE for Example 2
The top of a ladder rests against a wall, 23 feet above the ground. The base of the ladder is 6 feet away from the wall. What is the length of the ladder?
3.
about 23.8 ftANSWER
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GUIDED PRACTICE for Example 2
The Pythagorean Theorem is only true for what type of triangle?
4.
right triangleANSWER