Panamuganroseidn
Answered

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A ladder 8 meters long leans against the wall of a building. If the foot of the ladder makes an angles of 68 degree against the ground, how far is the base of the ladder from the wall to the nearest meters?

Sagot :

AshrieIIeidn

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[tex]\sf\pink{ᯓ★}[/tex] Given information:

  • Ladder length: 8 meters
  • Angle between the ladder and the ground: 68 degrees

[tex]\sf\pink{ᯓ★}[/tex] Using the trigonometric function of cosine:

  • Distance to wall = Ladder length × cos(Angle)
  • Distance to wall = 8 meters × cos(68°)

[tex]\sf\pink{ᯓ★}[/tex] Calculating the cosine of 68°:

  • cos(68°) = 0.3746

[tex]\sf\pink{ᯓ★}[/tex] Plugging in the values:

  • Distance to wall = 8 meters × 0.3746
  • Distance to wall = 2.9968 meters

[tex]\sf\pink{ᯓ★}[/tex] Rounding to the nearest meter:

  • The distance from the base of the ladder to the wall is [tex]\blue{\underline{\sf\pink{3~ meters}}}[/tex].

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