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 1.5 m, and is inclined at an angle of 30° to the ground, whereas for elder children, she wants to have a steep slide at a height of 3m, and inclined at an angle of 60° to the ground. What should be the length of the slide in each case?

Open in App

Solution

Younger children
In △ABC
sin30°=BC/AC
1/2=1.5/AC
∴AC=3m
Elder children
YZ/XZ=√3/2
XZ=6/√3=2√3m

Suggest Corrections

Similar questions

Q. Question 3
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 1.5 m and is inclined at an angle of

30^{\circ}

to the ground whereas for elder children she wants to have a steep slide at a height of 3 m and inclined at an angle of

60^{\circ}

to the ground. What should be the length of the slide in each case?

Q. 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 shows top is at a height of

1.5 m

and is inclined at an angle of

30^{0}

to the ground, whereas for elder children, she wants to have a steep slide at a height of

3 m

, and inclined at an angle of

60^{0}

to the ground. What should be length of the slide In each case?

A contractor plans to install two slides for the children to play in a park for elder children. She wants to have a steep slide at a height of 6 m, and inclined at an angle of $60^{\circ}$ to the ground. What should be the length of the slide (in m)?

Join BYJU'S Learning Program

Younger childrenIn △ABCsin30°=BC/AC1/2=1.5/AC∴AC=3mElder childrenYZ/XZ=√3/2XZ=6/√3=2√3m

Younger children
In △ABC
sin30°=BC/AC
1/2=1.5/AC
∴AC=3m
Elder children
YZ/XZ=√3/2
XZ=6/√3=2√3m