Practice Set 3

About This Set

This is the hardest of the three sets: the angle may be $15^\circ$ or $75^\circ$, an answer may have to be rounded, a moving object may have to be timed between two angles, and the picture has to be drawn with care before any working. Watch for a line of sight measured from the vertical instead of the horizontal, a broken tree whose angle is given with the trunk rather than the ground, and an observer standing on a roof or at a window. The four items marked [Tier 2] (a cloud and its reflection in a lake, an answer in $\alpha$ and $\beta$, two points due south and due east of a tower, and a shadow under a lamp post) are asked mainly in Tier 2. Give it about 35 minutes; a score of 18 or more means you can move on to the PYQ Practice Sets.