Maybe an unusual (and too easy for you) question, but my younger brother is requested to calculate the height of the Eiffel Tower:
Is this possible, given that he has not learned sine and cosine yet (5th grade)?
Details: A-to-B=200m, alpha=65°, beta=41°
Best Answer
It can be done by making a careful drawing. Draw a straight line segment of some convenient length to represent $AB$. Use a protractor and straightedge to draw lines making angles $\alpha$ and $\beta$ as shown. Drop a perpendicular from the meeting point of these two lines to the line through $A$ and $B$. The sensible tool for that is the T-square. Measure, scale.
If one can assume that the given picture was done to scale, one can even work directly with the picture: Measure $AB$, and the height of the pictured tower, and scale suitably. But it is not safe to rely on the accuracy of a textbook picture. Moreover, it would deprive students of a useful exercise in drawing.
Remark: If we are concerned that the various tools mentioned above may be used as weapons, we can do the job virtually with geometric software.