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°
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°.