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Answer:
[tex]x = 14.13ft[/tex]
Step-by-step explanation:
Given
See attachment for illustration
Required
Find x
To do this, we apply Pythagoras theorem.
From the attachment, the length of the hypotenuse is 16.7ft
While the length of the opposite/adjacent is 8.9ft
Length x is calculated using:
[tex]16.7^2 = 8.9^2 + x^2[/tex]
[tex]x^2 = 16.7^2 - 8.9^2[/tex]
[tex]x^2 = 199.68[/tex]
Take square roots
[tex]x = \sqrt{199.68[/tex]
[tex]x = 14.13ft[/tex]
The distance between the two platforms should be 14.13 ft.
Since the length of the hypotenuse is 16.7ft.
And, length of the opposite/adjacent is 8.9ft.
Now the distance between should be
[tex]16.7^2 = 8.9^2 + x^2\\\\x^2 = 16.7^2 - 8.9^2\\\\x^2 = 199.68\\\\x = \sqrt{199.68}[/tex]
= 14.13 ft.
hence, The distance between the two platforms should be 14.13 ft.
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