Required Information

Problem $15\mathrm{.}164-$ A boom lift in motion

At the instant shown, the length of the boom $\backslash ($ A B $\backslash )$ is being decreased at the constant rate of $\backslash (0\mathrm{.}200\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash )$ and the boom is beling lowered at the constant rate of $\backslash (0\mathrm{.}08\backslash$mathrm$\{$rad$\}/\backslash$mathrm$\{$s$\}\backslash ).$

Problem $15\mathrm{.}164.$a $-$ Velocity of the boom lift

Determine the velocity of Point $\backslash ($ B $\backslash ).$

The velocity of Point $\backslash ($ B $\backslash )$ is

$\backslash (\backslash$mathrm$\{$m$\}/\backslash$mathrm$\{$s$\}\backslash ).($Round the final answer to three decimal places.$)$

The angle is