Answer:
The slant of the ladder is 5 ft
Step-by-step 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 = [tex]\sqrt{a^{2}+b^{2}}[/tex]
∴ c = [tex]\sqrt{(4)^{2}+(3)^{2}}=\sqrt{16+9}=\sqrt{25}[/tex]
∵ [tex]\sqrt{25}[/tex] = 5
∴ c = 5 ft
∴ The slant of the ladder is 5 ft
