ArihantB688090 ArihantB688090

03-11-2022
Mathematics

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The angle of elevation from ground level to the top of a water tower that is 280 ft away measures 27 degrees. What is the height of the tower?

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FishelG402101 FishelG402101

03-11-2022

We can draw

x represents the height of the water tower

we have a right triangle

we can use a trigonometric function

[tex]\tan (27)=\frac{x}{280}[/tex]

we need to clear x

[tex]x=\tan (27)\cdot280=142.66\text{ ft}[/tex]

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