Respuesta :
You can use the right angled triangle to find the needed angle's measure.
The measure of the angle that the ladder forms with the ground is [tex]56.44^{\circ}[/tex]
How to use right triangle to find the angle?
When ladder is placed on the wall, it is slant. The wall, usually is assumed to be straight and not leaning thus making right angle with the ground.
Thus, we can use trigonometric ratios as this forms the case of right angle.
For the angle that the ladder (call it L ) forms with the ground,
the hypotenuse is the length of the ladder and
the perpendicular is the height of the window from the ground as it is against that angle.
The sine of angle L can be found as:
[tex]sin(L) = \dfrac{10}{12}\\L = arcsin(0.833) = 56.44^{\circ}[/tex]
Thus, the angle that the ladder forms with the ground is [tex]56.44^{\circ}[/tex]
Learn more about arcsin here:
https://brainly.com/question/1634690
