Reggie is building a bike ramp out of wood in the shape of a right triangle— the slanted portion is the ramp. He cuts a 48-inch-long wood plank that will act as the slanted portion and the base wood plank is 45 inches long. Use the inverse of cosine to find the approximate angle of the ramp from the ground.(1 point)
Responses
90°
90°
50°
50°
20°
20°
70°
50°
To find the angle of the ramp from the ground, we can use the inverse cosine function. We know that the cosine of an angle is equal to the adjacent side (45 inches) divided by the hypotenuse (48 inches). Therefore, the cosine of the angle is 45/48.
cos(angle) = 45/48
angle = cos^(-1) (45/48)
angle ≈ 50°
Therefore, the approximate angle of the ramp from the ground is 50°.