Answer:
The answer is β=0,85 rads
Explanation:
As the ladder is leaning against the building, we can imagine there´s a triangle where 20ft is the hypotenuse and 15ft is the maximum vertical distance between the ladder and the ground, it means, the leg opposite to β which is the angle we need
Let β(betha) be the angle between the ladder and the ground
We also know that [tex]sin(betha)=(leg opposite)/(hypotenuse)[/tex]
In this case we will need to find β, this way:
[tex]betha=sin^-1((15ft/20ft))[/tex]
Then β=48,6°
We also have that 2πrads is equal to 360°, in this way we find how much β is in radians:
[tex]betha=(48,6°)*(2pirads/360°)[/tex]
then we find β=0,85rads
