Question

If the ladder is inclined at an angle of 30degree with the ground and it reaches at a height of 4m from the ground ,then what is the length of ladder?

Answer 1

Here,

AC is the ladder &

AB = 4 m

Fig is attached

Sol =

Sin 30 = AB/ AC

sin 30 is equal to 1 by 2

1/ 2 = 4 / AC

AC = 8 M

length of the ladder is 8 metre

Answer 2

Let AB be height of ladder from ground(4m)

Let AC be height of ladder

Angle C be 30 degree.

In right angle triangleABC,

sinθ=Opposite side÷Hypotenuse

sin30=AB÷AC

1/2=4÷AC

AC=4×2

AC=8

Therefore,Length of ladder is 8m