Question

You are making a banner for your cousin's birthday party. You start by cutting out triangle pieces of cardstock paper; to not waste paper, you choose to cut the paper diagonally. Each piece of cardstock paper measures five inches in height with a base of three and a half inches. After cutting, what is the approximate angle formed at the base of the triangle?Answer Choices$45^\circ$$65^\circ$$35^\circ$$55^\circ$

Answer 1

Assuming the triangle is right (height 5 in and base 3.5 in are perpendicular), the base angle θ satisfies
tan θ = opposite/adjacent = 5/3.5 ≈ 1.4286,
so θ ≈ arctan(1.4286) ≈ 55°.

Answer: 55°.