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?(1 point)
Responses

45°
45°

35°
35°

65°
65°

55°

Answer 1

The base angle θ satisfies tan θ = height / base = 5 / 3.5 = 1.4286, so θ ≈ arctan(1.4286) ≈ 55°. Answer: 55°.