Answer
175 ft
Work Step by Step
Step 1. Represent the configuration with a new figure as shown, where T is the tree top, A is the end of shadow, AB=215 ft is the length of the shadow. $\angle TAC=52^\circ, \angle BAC=22^\circ,$
Step 2. In the right triangle $\Delta TAC$, we can obtain $\angle ATC=90-52=38^\circ$. We can also obtain
$\angle TAB=52-22=30^\circ$
Step 3. In the triangle $\Delta TAB$, use the Since Law, we have $\frac{TB}{sin30^\circ}=\frac{215}{sin38^\circ}$ where TB is the height of the tree. Solve the equation, we obtain TB=$215\times\frac{sin30^\circ}{sin38^\circ}\approx175ft$
