Answer:
17.60m
Step-by-step explanation
The set up is a right angled triangle
Given
angle of elevation = 58°
Distance of the man from the tree = adjacent = 11m
Required
Height of the tree h (Opposite)
Using the TOA identity
tan theta = opposite/adjacent
tan 58 = h/11
h = 11tan58
h = 11(1.6)
h = 17.60
Hence the tree is 17.60m tall
