Question

A 14-meter ladder leans against a building forming a 30° angle with the building. Exactly how

high is the ladder on the building in meters? Round to the nearest hundredth (2 digits after the
decimal).

Answer 1

Answer: 12.12 m

Explanation:

Given

length of ladder L=14 m

the ladder makes an angle of
`\theta=30^(\circ)` with the building

With the help of a diagram, we can write

`\cos \theta=\frac{\text{h}}{\text{L}}`

`\cos 30^(\circ)=(h)/(14)`

`h=14\cos 30^(\circ)`

`h=12.12\ m`