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When the sun shines at a 60° angle to the ground, Nadia’s shadow is 31 in. long. To the nearest inch, how tall is Nadia?

 Mar 25, 2020
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x=actual height of Nadia in inches

 

We know the formula for tan is (opposite side)/(adjacent side), so if we set the degrees to 60, it will represent the sun shining at a 60-degree angle.

 

x=tan 60 degrees*31------(Sunshine times Nadia's shadow)

 

Using a calculator, that will give us about 53.69, which would round to 54. 

 

Nadia is 54 inches tall.

 

Hope this helped!

 Mar 25, 2020

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