A platform is supported by a cable at its midpoint $($point C$)$ and a pin joint at point B$.$ The cable is also connected to the same wall at point D $($height $=$ h$).$ A person risks their own life to test the strength of the system by standing at various distances, d$,$ along the platform.

Variable h $\backslash$alpha

d$1$

d$2$

Value $3\mathrm{.}7525412$

Units $[$m$][$degrees$][$m$][$m$]$

Hints:

The reaction does not necessarily act along the platform.

This question can be solved without the use of simultaneous equations $($Use $3$ Force bodies $-$ Force Triangles$).$

Given the information in the table above, determine:

$1)$ how far away does the person need to stand from the pin joint, for there to be no reaction in the y$-$direction at point B$,$

Answer for part $1$

$[$m$],(3$ sigfig$)$

$2)$ if the person stood at d$1,$ what is the angle of the reaction at point B$,$

Answer for part $2$

$[$degrees$],(3$ sigfig, measured clockwise from the negative x$-$axis $-)$

$3)$ if the person stood at d$2,$ what is the angle of the reaction at point B$,$

Answer for part $3$

$[$degrees$],(3$ sigfig, measured anti$-$clockwise from the negative x$-$axis $-)$