Answer:
Distance between ladder and base of the wall is [tex]5\sqrt{7}[/tex] foot.
Angle of ladder make with the ground is about [tex]48.59^\circ[/tex].
Step-by-step explanation:
From the given information,
Length of ladder = 20 foot
Height of building = 15 feet
We need to find the distance between ladder and base of the wall.
We know that wall is perpendicular to floor. It means ladder is hypotenuse.
Using Pythagoras theorem, we get
[tex]hypotenuse^2=base^2+perpendicular^2[/tex]
[tex](20)^2=base^2+(15)^2[/tex]
[tex]400-225=base^2[/tex]
[tex]\sqrt{175}=base[/tex]
[tex]5\sqrt{7}=base[/tex]
Therefore, the distance between ladder and base of the wall is [tex]5\sqrt{7}[/tex] foot.
In a right angle triangle,
[tex]\sin \theta=\dfrac{perpendicular}{Hypotenuse}[/tex]
[tex]\theta=\sin^{-1}\left(\dfrac{15}{20}\right)[/tex]
[tex]\theta \approx 48.59^\circ[/tex]
Therefore, the angle of ladder make with the ground is about [tex]48.59^\circ[/tex].
