I will give branliest ​

Step-by-step explanation:

Height of ladder = 12ft .

Here perpendicular is height to which it reaches .

When angle is 30⁰ :-

=> sin 30⁰ = H/12

=> ½ = H/12

=> H = 12/2

=> H = 6m ( ans )

When Angle is 45⁰ :-

=> sin45⁰ = H/12

=> 1/√2 = H/12

=> H = 6*√2*√2/√2

=> H = 6√2 m ( ans )

When angle is 60⁰ :-

=> sin60⁰ = H/12

=> √3/2 = H/12

=> H = 12 *√3/2

=> H = 6√3 ( ans )

hope it helped !

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.