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Answer:

21ft

Step-by-step explanation:

sin(45°)=height/30

height=30sin(45°)

h=30×√2/2=15√2≈21.213(21ft to the nearest whole)

The height should be 21 ft.

Given that,

  • A 30 ft water slide forms a 45 degree angle with their surface of the water.

Based on the above information, the calculation is as follows:

[tex]sin(45^{\circ})=height\div 30\\\\height =30sin(45^{\circ})\\=30\times \sqrt 2\div 2\\\\=15\sqrt 2[/tex]

≈21.213

= 21 ft

Learn more: brainly.com/question/17429689

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