Step 1 :\(\tan \theta = \frac{3.4}{10}\)
Step 2 :\(\theta = \arctan \left(\frac{3.4}{10}\right)\)
Step 3 :\(\theta \approx \boxed{18.43^\circ}\)
Step 4 :\(\tan 3^\circ = \frac{h}{10}\)
Step 5 :\(h = 10 \tan 3^\circ\)
Step 6 :\(h \approx \boxed{0.52}\)