KeziyahA430352 KeziyahA430352
  • 25-10-2022
  • Mathematics
contestada

Determine the height of the lift, in metres, above the gym floor. show all your work algebraically. round to the nearest cm, if necessary.

Determine the height of the lift in metres above the gym floor show all your work algebraically round to the nearest cm if necessary class=

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PresleiR609665 PresleiR609665
  • 25-10-2022

Height of lift = x + x = 2x

We can find x using triangle ABC by the cosine rule

[tex]\begin{gathered} x^2=5.6^2+5.6^2-2(5.6)(5.6)\cos40^0 \\ x^2=62.72-48.04352 \\ x^2=14.67648 \\ x=\sqrt{14.67648} \\ x=3.831m \end{gathered}[/tex]

Height of lift = 2 X 3.831m = 7.662m

This will be converted to cm by multiplying by 100

Height of lift = 7.662 X 100 cm

= 766.2 cm

= 766cm ( nearest cm )

Hence the answer is 766cm

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