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When the angle of elevation of the sun is 40°, a mango tree casts a shadow seven meters long.how tall is the tree?

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[tex] \large\underline \mathcal{{QUESTION:}}[/tex]

When the angle of elevation of the sun is 40°, a mango tree casts a shadow seven meters long.how tall is the tree?

[tex]\\[/tex]

[tex] \large\underline \mathcal{{SOLUTION:}}[/tex]

[tex]\sf{Tan(\theta)=\frac{Opposite}{Adjacent}}[/tex]

[tex]\sf{Tan(40°)=\frac{Opposite}{7m}}[/tex]

[tex]\sf{0.83909963118(7m)=Opposite}[/tex]

[tex]\sf{5.87\approx Opposite}[/tex]

[tex]\\[/tex]

[tex] \large\underline \mathcal{{ANSWER:}}[/tex]

  • The height of the tree is 5.87 meters

[tex]\\[/tex]

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