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

Answer 1

Step-by-step explanation:



Suppose  m is the length of slides for children below 5 years and the length of slides for elders children be  m.

Given that,

AF = 1.5 m, BC = 3 m,  and 

In triangle EAF,





The value of  is 3 m.

Similarily in CDB,





the value of  is  = 2(1.732) = 3.468

Hence the length of the slide for children below 5 yrs. is 3 m and for the elder children is 3.468 m.



Answer 2

We Know sin α = p/h.

Let the Length of Slide 1 be L1 and then it will we equal to

H1Sin30° = 1.5 Sin30° = 1.5 x 0.5 = 0.75 m

Let the Length of Slide 2 be L2 and then it will we equal to

H2Sin60° = 3 Sin60° = 3 x $\frac{\sqrt{3}}{2}$ = $3\frac{\sqrt{3}}{2}$ m