chris99191
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I completed this proof in the attachment but can someone please check my working
The aim was to show that the height of P above floor after the crate is tilted is h(cosb+2sinb)
From the rectangles you can work out
Length of OP=h√5
sin(a)=1/√5
cos(a)=2/√5
therefore
height=h√5.sin(a+b)
=h√5.(sinacosb+cosasinb)
=h√5.(1/√5cosb+2/√5sinb)
=h(cosb+2sinb)
The aim was to show that the height of P above floor after the crate is tilted is h(cosb+2sinb)
From the rectangles you can work out
Length of OP=h√5
sin(a)=1/√5
cos(a)=2/√5
therefore
height=h√5.sin(a+b)
=h√5.(sinacosb+cosasinb)
=h√5.(1/√5cosb+2/√5sinb)
=h(cosb+2sinb)
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