Jaclynn is building a cat house for her cats. She designs a ramp from one level to the other for them to climb. The ramp length is 4 feet, and the difference between the two levels is 2.5 feet. Using the inverse of sine function, what is the approximate angle of elevation formed by the ramp? Round your answer to the nearest whole degree.
To find the angle of elevation, we can use the inverse sine function:
sin(angle) = opposite/hypotenuse
In this case, the opposite side is the height difference of 2.5 feet and the hypotenuse is the length of the ramp, 4 feet.
sin(angle) = 2.5/4
sin(angle) = 0.625
Now, we take the inverse sine function to find the angle:
angle = sin^(-1)(0.625)
angle = 38.67 degrees
Rounded to the nearest whole degree, the angle of elevation formed by the ramp is approximately 39 degrees.