Question

A ladder 7.90 m long leans against the side of a building. If the ladder is inclined at an angle of 66.0° to the horizontal, what is the horizontal distance from the bottom of the ladder to the building? 10.3 Incorrect: Your answer is incorrect.

Answer 1

Answer:3.21 m

Step-by-step explanation:

Given

Length of ladder
`L=7.9\ m`

inclination of ladder
`\theta =66^(\circ)`

If x is the horizontal distance between building and ladder then,

Using trigonometric relation

we get

`\cos \theta =(x)/(L)`

`x=L\cos \theta`

`x=7.9* \cos (66)`

`x=3.21\ m`