Math, asked by chatterrjishayna, 5 months ago

A contractor plans to install two slides for the children to play in a park . For the children below the age of 5years, she prefers to have a slide whose top is at a height of 1.5 metre . 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 3metre , and inclined at an angle of 60° to the ground. what should be the length of the slide in each case?​

Answers

Answered by Anonymous
5

\large\sf\red{In\:∆ABC,}

\large\sf\red{Sin\:30°=\frac{AB}{AC}=\frac{1.5}{h}}

\large\sf\red{So,\frac{1}{2}=\frac{1.5}{h}}

\large\sf\red{AC=3m}

\large\sf\blue{In\:∆PQR,}

\large\sf\blue{Sin\:60°=\frac{PQ}{PR}=\frac{3}{PR}}

\large\sf\blue{So,\frac{√3}{2}=\frac{3}{PR}}

\large\sf\blue{PR=2√3m}

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