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In the diagram $\mathrm{RT}$ is the height of a vertical tower, with $\mathrm{T}$ the foot of the tower. A and B are 2 points, with equidistance from $\mathrm{T}$ and they lie in the same horizontal space as $\mathrm{T}$. The height of the triangle is $\mathrm{h}$. The angle of depression to $\mathrm{B}$ from $\mathrm{R}$ is $\alpha \cdot R \hat{\mathrm{B}} \mathrm{A}=\beta$
a. Give the magnitude of $A \hat{R} B$ in terms of $\beta$
b. Show that $A B=\dfrac{2 h \cos \beta}{\sin \alpha}$, and calculate $\mathrm{h}$ if
$\mathrm{AB}=5,4$ units, $\alpha=51^{\circ}$ and $\beta=65^{\circ}$

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