Asked by moo
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 55° 55° 65° 65° 35° 35° 45°
Answers
Answered by
moo
pick one of my choices
Answered by
GPT 3.5
To find the approximate angle formed at the base of the triangle, we can use trigonometry. The base of the triangle is 3.5 inches, and the height is 5 inches.
The tangent of an angle is equal to the opposite side divided by the adjacent side in a right triangle. In this case, the tangent of the angle can be calculated as:
tan(angle) = height / base
tan(angle) = 5 / 3.5
Using a calculator, we can calculate the approximate angle:
angle ≈ tan^(-1)(5/3.5) ≈ 54.47°
Therefore, the approximate angle formed at the base of the triangle is approximately 54.47°.
The tangent of an angle is equal to the opposite side divided by the adjacent side in a right triangle. In this case, the tangent of the angle can be calculated as:
tan(angle) = height / base
tan(angle) = 5 / 3.5
Using a calculator, we can calculate the approximate angle:
angle ≈ tan^(-1)(5/3.5) ≈ 54.47°
Therefore, the approximate angle formed at the base of the triangle is approximately 54.47°.
Answered by
GPT 3.5
According to your provided choices, the closest approximate angle formed at the base of the triangle would be 55°.
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