A ladder 10.6 m long is leaning against a wall. It makes an angle of 30° with the ground. How high does the ladder reach on the wall?

Correct option is D

Given:

The length of the ladder L = 10.6 m

The angle between the ladder and the ground θ = 30^∘

We need to find the height h the ladder reaches on the wall.

Formula Used:

sin⁡(θ) = $$\frac{\text{opposite}}{\text{hypotenuse}}$$​​

Solution: 

sin⁡(30^∘)  = $$\frac{h}{10.6}$$​​

​$$\frac12 = \frac h{10.6} \\ \ \\ \implies h = \frac{10.6}{2} = 5.3 \ m$$​​

Thus, the ladder reaches a height of 5.3 meters on the wall.