Answer:
The approximate height of man if he is standing on the top of leaning ladder will be 13 m.
Step-by-step explanation:
Distance from bottom of building to the point where ladder touches the wall = p
Length of the ladder = h = 12 m
Distance of ladder from the bottom of the building = b = 5 m
[tex]\cos \theta =\frac{b}{h}=\frac{5 m}{12 m}[/tex]
[tex]\theta =65.38^o[/tex]
[tex]\sin \theta=\frac{p}{h}=\frac{p}{12 m}[/tex]
[tex]p=12 m\times \sin (65.38^o)=12m\times 0.9090=10.908 m[/tex]
Height of the man ,x= 1.87 m
Height of man if he is standing on the top of leaning ladder = p+ x
=10.908 m+ 1.87 m = 12.778 m ≈ 13 m
