5

Set 17: Linear Equations

Explanation

Answer: D

A 10 ft ladder leans against a wall. The base is 6 ft away. How high does it reach? (Pythagorean Theorem)

A.

12

B.

4

C.

16

D.

8

✓ Correct

Detailed Explanation

Choice D is correct. Choice B is the correct answer. 1. Equation: a2+b2=c262+h2=102a^2 + b^2 = c^2 \rightarrow 6^2 + h^2 = 10^2 2. Simplify: 36+h2=10036+ h^2 = 100 3. Subtract 36: h2=64h^2 = 64 4. Square Root: h=8h = 8 Choice C is incorrect because it results from an error in the solution process. Choice D is incorrect because it results from an error in the solution process. Choice C is incorrect because it results from an error in the solution process.

Key Steps:

The correct answer is 8

Why others are wrong:
A: Choice A is incorrect and may result from a calculation error.
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.

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