10
algebra

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 Answer: D

Choice Dhoice B is the correct answer.

  1. Equation: a2+b2=c2→62+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 Dhoice C is incorrect because calculation error.

Choice Dhoice D is incorrect because calculation error.

Choice Dhoice C is incorrect because calculation error.

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Linear Functions Set 35