1

Set 1: Triangles

Explanation

Answer: A

Tom walks 32 meters east and then 60 meters north. What is the straight-line distance from Tom's starting point?

A.

68

✓ Correct
B.

78

C.

58

D.

34

Detailed Explanation

Choice A is correct. Using the Pythagorean theorem: a2+b2=c2a^2 + b^2 = c^2 1. Given values: 32 and 60 Calculate: 322+602=1024+3600=462432^2 + 60^2 = 1024 + 3600 = 4624 Take square root: 4624=68\sqrt{4624} = 68 Therefore, the answer is 68 meters.

Key Steps:

The correct answer is 68

Why others are wrong:
B: This would give an incorrect result. Choice B 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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