Answer:
The ladder is 4.86 foot from the base of the wall .
Step-by-step explanation:
Given as :
The length of the ladder = 28 ft
The ladder makes angle of 80° with the ground
Let The distance of the ladder from the foot of the wall = x ft
Now, From Triangle BAC
Cos angle = [tex]\dfrac{\textrm Base}{\textrm Hypotenuse}[/tex]
I.e Cos 80° = [tex]\dfrac{\textrm BA}{\textrm AC}[/tex]
Or, 0.1736 = [tex]\dfrac{\textrm x}{\textrm 28}[/tex]
Or, x = 0.1736 × 28
∴ x = 4.86 foot
So, The distance of ladder from wall base = x = 4.86 foot
Hence The ladder is 4.86 foot from the base of the wall . Answer
