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Answered

9. A fisherman makes his way home from fishing overnight. After some time, he
sees the tip of the roof of his house, which has a height of 12 feet. If he is
looking at the top of the roof at angle of 20°, how far is he from his house?​

Sagot :

FIERCEFIREFLIEEIN
  • Angle of elevation=20°
  • Perpendicular=P=12ft
  • Base=B=?

We know

[tex]\boxed{\sf tan20=\dfrac{P}{B}}[/tex]

[tex]\\ \sf\longmapsto 0.9=\dfrac{12}{B}[/tex]

[tex]\\ \sf\longmapsto B=\dfrac{12}{0.9}[/tex]

[tex]\\ \sf\longmapsto B=13.3ft[/tex]

[tex]\\ \sf\longmapsto B=13ft(Approx)[/tex]

Hence the man is 13ft far from the house

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