a ladder of length 5 m rests with its foot on horizontal, Ratio And Percentage, Mathematics (O-Level)

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Question:A ladder of length 5 m rests with its foot on horizontal ground and leans against a vertical wall. If the inclination of the ladder to the horizontal is `47^@` , find the distance of the foot of the ladder from the wall.

Answer If x meters, is the distance of the foot of the ladder from the wall.

cos `47^@` = `x/7`
`:.`    x = 5 cos `47^@`
          = `5 xx 0.6820`
          = 3.410
          = 3.41 (correct to 3 sig. fig.).
The foot of the ladder is 3.41 m from the wall.

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A ladder of length 5 m rests with its foot on horizontal ground and leans against a vertical wall. If the inclination of the ladder to the horizontal is `47^@` , find the distance of the foot of the ladder from the wall.

Question:A ladder of length 5 m rests with its foot on horizontal ground and leans against a vertical wall. If the inclination of the ladder to the horizontal is `47^@` , find the distance of the foot of the ladder from the wall.

Answer If x meters, is the distance of the foot of the ladder from the wall. cos `47^@` = `x/7` `:.` x = 5 cos `47^@` = `5 xx 0.6820` = 3.410 = 3.41 (correct to 3 sig. fig.). The foot of the ladder is 3.41 m from the wall.