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.

Respuesta :

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).