8

Set 1: Triangles

Explanation

Answer: B

Mia walks 22 inches east and then 120 inches north. What is the straight-line distance from Mia's starting point?

A.

61

B.

122

✓ Correct
C.

112

D.

132

Detailed Explanation

Choice B is correct. Using the Pythagorean theorem: a2+b2=c2a^2 + b^2 = c^2 1. Given values: 22 and 120 Calculate: 222+1202=484+14400=1488422^2 + 120^2 = 484 + 14400 = 14884 Take square root: 14884=122\sqrt{14884} = 122 Therefore, the answer is 122 inches.

Key Steps:

The correct answer is 122

Why others are wrong:
A: This would give an incorrect result. Choice A is incorrect and may result from a calculation error.
C: This would give an incorrect result. Choice C is incorrect and may result from a calculation error.
D: This would give an incorrect result. Choice D is incorrect and may result from a calculation error.

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