Respuesta :
Answer:
The angle formed by ladder and the ground is [tex]66.42^\circ[/tex].
Step-by-step explanation:
Given that, a 15 foot ladder lent against to the side of the building. 6 feet is the distance from the bottom of the ladder to the wall.
It looks like a right angled triangle whose hypotenuse 15 foot and base 6 feet.
We know that,
[tex]cos\theta=\frac{Base}{Hypotenuse}[/tex]
[tex]\Rightarrow cos\theta = \frac{6}{15}[/tex]
[tex]\Rightarrow cos\theta = \frac{2}{5}[/tex]
[tex]\Rightarrow \theta = cos^ {-1}(\frac{2}{5})[/tex]
[tex]\Rightarrow \theta =66.42^\circ[/tex]
The angle formed by ladder and the ground is [tex]66.42^\circ[/tex].
