A contractor plans to install two slides for the children to play in a park. For the children below the age o…

Mathematics Some Applications of Trigonometry

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

3 0^{\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

6 0^{\circ}

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

(i)For children below 5 years: a slide with its top at a height of $1.5$ m, inclined at $3 0^{\circ}$ to the ground. Find the length of this slide.
(ii)For elder children: a steeper slide with its top at a height of $3$ m, inclined at $6 0^{\circ}$ to the ground. Find the length of this slide.

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