Question

A ramp is made using a board. The board is 12 ft long. The ramp is 3 ft. high. What angle does the ramp make with the ground.

Answer 1

Picture a triangle with hypotenuse 12 ft and "opposite side" 3 ft. Then the sine of the unknown angle is sin x = (3 ft) / (12 ft), or sin x = 1/4.

Apply the inverse sine function to determine the angle x.

Using my calculator, I got x= 0.253 radian. You could change this into degrees, if you wish, by mult. this result by (180 degrees) / (pi radians).