Question

A contractor plans to install two slides for the children to play in a park. For the children below the age of 5 years, she prefers to have a slide whose top is at a height of 2m and is inclined at an angle of 30° to the ground. What should be the length of the slide?

Options

• 4

• 2

• 1.5

• 3

Answer 1

4

Explanation:

The given situation can be represented by the figure below

In right-angled triangle ABC,

`"sin" angle"ABC" = "AC"/"AB" = 1/2`

`=> "sin"  30^circ = 2/"AB"`

`=> "AB" = 2/(1/2)`

`=> "AB" = 4  "m"`

`therefore` Length of the slide is 4m.