A 30-in. prop holds the lid open on a grand piano. The base of the prop is 59 in. from the lid's hinge. What angle does the lid make with the piano top when the prop is placed perpendicular to the lid?
+14985 A 30-in. prop holds the lid open on a grand piano. The base of the prop is 59 in. from the lid's hinge. What angle does the lid make with the piano top when the prop is placed perpendicular to the lid?
Rectangular triangle
Hypotenuse c = 59 inch
Opposite side h = 30 inch
Inclination angle: alpha
alpha = arcsin(h/c)
alpha = arcsin(30 / 59)
alpha = 30° 33.7'
The lid of the piano is 30° 33.7' inclined.
!
+14985 A 30-in. prop holds the lid open on a grand piano. The base of the prop is 59 in. from the lid's hinge. What angle does the lid make with the piano top when the prop is placed perpendicular to the lid?
Rectangular triangle
Hypotenuse c = 59 inch
Opposite side h = 30 inch
Inclination angle: alpha
alpha = arcsin(h/c)
alpha = arcsin(30 / 59)
alpha = 30° 33.7'
The lid of the piano is 30° 33.7' inclined.
!
