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If a 80 ft. flagpole casts a shadow of 46 ft. Long, what is the angle of elevation of the sun from the tip of the shadow?



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If A 80 Ft Flagpole Casts A Shadow Of 46 Ft Long What Is The Angle Of Elevation Of The Sun From The Tip Of The Shadow Pa Help Po class=

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✏️TRIGONOMETRY

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  • If a 80 ft. flagpole casts a shadow of 46 ft. long, what is the angle of elevation of the sun from the tip of the shadow?

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[tex] \qquad\Large\rm» \:\: \green{\approx 60.1 \degree} [/tex]

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» The angle of elevation made by the ray of the sun and the shadow is the opposite side of the of flag and adjacent to the length of the shadow. Find the angle with the given opposite and adjacent side by using the tangent ratio.

  • [tex] \rm \tan \theta = \frac{opposite}{hypotenuse} \\ [/tex]

  • [tex] \rm \tan \theta = \frac{ \: 80 \: }{46} \\ [/tex]

  • [tex] \rm \theta = \tan^{ \text - 1} \bigg(\frac{ \: 80 \: }{46} \bigg) \\ [/tex]

  • [tex] \rm \theta \approx 60.1[/tex]

[tex] \therefore [/tex] The angle of the sun to the tip of the shadow is approximately 60.1 degrees.

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