Question

A man is painting a building that is 20 meters high. He leans able 12 meter ladder against the building. The ladder is 5 meters away from the building. If the man is 1.87 meters y’all approximately how high will he be able to reach on the building to paint if he is standing on at the top of ladder

Answer 1

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

$\cos \theta =\frac{b}{h}=\frac{5 m}{12 m}$

$\theta =65.38^o$

$\sin \theta=\frac{p}{h}=\frac{p}{12 m}$

$p=12 m\times \sin (65.38^o)=12m\times 0.9090=10.908 m$

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