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A spotlight produced a shadow of a man on the stage as shown.

Part A: What are the values of x and y? Round your answers to the nearest tenth of a meter.
Part B: What is the length of the man's shadow? Round your answers to the nearest tenth of a meter.

A spotlight produced a shadow of a man on the stage as shown Part A What are the values of x and y Round your answers to the nearest tenth of a meter Part B Wha class=

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raphealnwobi

The length of the man's shadow produced by the spotlight is 11.4 m.

Trigonometric ratio

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

From the diagram using trigonometric ratio:

  • [tex]tan(21+19)=\frac{y}{25} \\ \\ y=25tan(40)\\ \\ y=21\ m[/tex]

Also:

  • [tex]tan(21)=\frac{x}{25} \\\\x=25tan(21)\\\\y=9.6\ m[/tex]

Length of shadow = y - x = 21 - 9.6 = 11.4 m

The length of the man's shadow produced by the spotlight is 11.4 m.

Find out more on trigonometric ratio at: https://brainly.com/question/4326804

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