Question 103

A 22 m long ladder (whose foot is on the ground) leans against a wall making an angle of $$60^\circ$$ with the wall. What is the height (in m) of the point where the ladder touches the wall from the ground?

Solution

Let AC be the ladder of height 22 m and $$\angle$$ ACB = $$60^\circ$$

In right $$\triangle$$ ABC,

=> $$sin(\angle ACB)=\frac{AB}{AC}$$

=> $$sin(60^\circ)=\frac{\sqrt3}{2}=\frac{h}{22}$$

=> $$h=11\sqrt3$$ m

=> Ans - (D)

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