Question

.
A ladder 15 m long just reaches the top of a vertical wall. If the ladder makes an angle of 30° with
the wall. Find the height of the wall.​

Answer 1

Answer:

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

∘

=

15

BC

⇒

2

1

=

15

BC

⇒BC=

2

15

=7.5m

Answer 2

Answer:

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  

∘ =  15 BC

⇒BC=  2 15

​=7.5m

solution

Step-by-step explanation: