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प्रश्न
A ladder makes an angle of 60° with the floor and its lower end is 2 m from the wall. What is the length of the ladder? At what height is it touching the wall?
बेरीज
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उत्तर
Given:
Angle made with floor = 60°
Distance from wall to base of ladder = 2 m
finding:
Length of the ladder
Height at which it touches the wall
Step 1:
= cos(60°) = `"Base"/"hypotenuse"` = `2/"Ladder Length"`
= `1/2 = 2/"Ladder Length"`
= `"Ladder Length" = 2/ (1/2)`
= 4 cm
Step 2:
= sin(60°) = `"Height"/"Ladder Length"` = `"Height"/4`
= `sqrt3/2 = "Height"/4`
= `"Height" = 4 ⋅ sqrt3/2`
= `2sqrt3` m
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