Question

A ladder 15m long just reaches the top of a vertical wall. If the ladder makes an angle of 60 with the wall. Find the height of the wall.

Answer 1

I hope this will help you....

Answer 2

Answer: 7.5 m

Step-by-step explanation:

As shown in figure AB is wall and AC is ladder making an angle 60° with the wall.  

Given Length of ladder =  15 m  

Now, let height of the wall is  $\text {x m}$

By Trigonometric ratios

  $cos\theta =\dfrac{Base}{Hypotenuse}$

$\Rightarrow cos60^{\circ} = \dfrac{AB}{AC} \\\\\Rightarrow \dfrac{1}{2} = \dfrac{x}{15} \\\\\Rightarrow \dfrac{15}{2} =x$

⇒ $x = 7.5m$

Therefore, the height of the building is 7.5m