Question

Find the height of ladder if the height of the wall is $50cm$ and angle of elevation is ${60}^o$.

Answer 1

Given that

height of wall $l=50cm$

angle of elevation$={60}^0$

Let height of ladder be $h$

From the image we can see that,

$\Rightarrow tan\left({60}^0\right)=\frac{50}{h}$

$\Rightarrow \sqrt{3}=\frac{50}{h}$

$\Rightarrow h=\frac{50}{\sqrt{3}}cm$

$\Rightarrow h=28.87cm$

Therefore, the height of ladder is $28.87cm$