Question

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

Answer 1

Answer:

Step-by-step explanation: Let the length of the ladder be =15m(hypotenuse)

The angle between the ladder and the wall ∠BCA=60  

∘

 Angle between ladder and the ground ∠CAB=90   −60  

∘  =30  

∘

Height of the wall =BC

sin30 = BC/15

​  1/2 = BC/15

BC = 15/2 = 7.5M

Answer 2

VERIFIED ANSWER:-

Let AB be the ladder and AC be the wall.

Given: AB 15m and ∠BAC = 60°

Now in right ∆ACB

$Cos \: 60°= \frac{ac}{ab}$

$\frac{1}{2} = \frac{ac}{15}$

$ac = \frac{15}{2} m = 7.5cm$

Hence the height of the wall is 7.5 m