Survey points $A$ and $B$ lie $40$ m apart on a straight bank. A tree at $T$ is on the other

Question

Survey points $A$ and $B$ lie $40$ m apart on a straight bank. A tree at $T$ is on the other side of the river. $\angle TAB=68^\circ$ and $\angle ABT=47^\circ$. The perpendicular from $T$ meets the segment $AB$ at $D$. Find $\angle ATB$.[1] Calculate $AT$.[2] Calculate the perpendicular distance $TD$.[2] Give calculated lengths correct to 3 significant figures.

Accepted Answer

(a) $65^\circ$ (b) $32.3\text{ m}$ (c) $29.9\text{ m}$

A perpendicular distance from survey angles

A perpendicular distance from survey angles

Solution:

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