The angle of elevation from a point on the ground to the top of a tree is 38.7 degrees. The angle of elevation from a point 27 ft farther back to the top of the tree is 22.9 degrees. Find the height of the tree to 2 decimal places.

Answer 1

draw a diagram
recall the definition of cotθ
then you can see that the height h is found using

h cot22.9° - h cot38.7° = 27

Answer 2

tan 30 degrees =x/25