The angle of elevation of the top B of a vertical tower \( \mathrm{AB} \) from a point \( \mathr...

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The angle of elevation of the top B of a vertical tower \( \mathrm{AB} \) from a point \( \mathrm{X} \) on the ground is \( 60^{\circ} \). At a point \( \mathrm{Y}, 40 \mathrm{~m} \) vertically above \( \mathrm{X} \), the angle of elevation is \( 45^{\circ} \). Select the statement/s which is/are true:
a. \( \mathrm{AB}=10(\sqrt{3}+2) \mathrm{m} \)
b. \( A B=20(3+\sqrt{3}) \mathrm{m} \)
c. \( \mathrm{XB}=109.3 \mathrm{~m} \)
d. None of these
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