The angle of elevation of the ladder is [tex]36.869[/tex]°
According to question, a right triangle is formed , in which hypotenuse(length of ladder) is 10 meter and height is 6 meter.
We have to find angle of elevation, x
[tex]sin(x)=\frac{height}{hypotenuse}\\\\sin(x)=\frac{6}{10}\\\\sin(x)=0.6\\\\x=arcsin(0.6)\\\\x=36.869[/tex]
Angle of elevation is 36.869 degree.
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https://brainly.ph/question/103827