Explanation: Looking over our question we are able to represent the situation in the picture below
As we can see above we have a right triangle in the field of view of the theodolite. Once we understand that we can use a trigonometric relation to calculate the height of the monument in the field of view of the theodolite.
Step 1: Let's represent the right triangle and use the trigonometric relation as follows
Step 2: Above we found the height of the monument in the field of view but we can not forget that the theodolite is 1.8m high which means we need to add 1.8m as follows
[tex]monument_{\text{ }}height=10m+1.8m=11.8m[/tex]
Final answer: So the final answer is 11.8 m
