A ladder rest against a vertical wall .if the top of the ladder is 6m from the foot of the wall and the ladder makes 36° with the ground find the length of the ladder

10.21 m

Step-by-step explanation:

       |\

       |     \

       |          \        L

6 m  |               \

       |                    \

       |          36 deg   \

       |-------------------------\

For the 36-deg angle, 6 m is the opposite leg. L is the hypotenuse. The trig ratio that relates the opposite leg to the hypotenuse is the sine.

how is that middle school

step-by-step explanation:

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)