When builders were constructing a sidewalk they forgot to include an expansion joint between two of the segments, L $=2\mathrm{.}9$ m at To $=20$ C$.$ Assume the opposite ends of each segment are fixed and the linear expansion coefficient is $=1110-6$C$-1.$

$$ Part $($a$)$

As the day heats to Tb the segments press against each other and begin to raise the junction a distance h forming a triangle. What is the height $($in meters$)$ at Tb$=110$