Question

Someone can help???

A ladder is leaning against a house. The distance to the house's edge from the bottom step is 3 ft. and the distance from the edge to the top step is 4 ft. What is the slant of the ladder?

Answer 1

The slant of the ladder is 5 ft

Explanation:

Look at the attached figure to understand this situation

∵ a represents the distance from the edge to the top step

∵ The distance from the edge to the top step is 4 ft

∴ a = 4 ft

∵ b represents the distance to the house's edge from the bottom step

∵ The distance to the house's edge from the bottom step is 3 ft

∴ b = 3 ft

∵ c represents the slant of the ladder

∴ We need to find c

→ By using the Pythagoras Theorem

∵ c =
`\sqrt{a^(2)+b^(2)}`

∴ c =
`\sqrt{(4)^(2)+(3)^(2)}=√(16+9)=√(25)`

∵
`√(25)` = 5

∴ c = 5 ft

∴ The slant of the ladder is 5 ft