Answer:
53.67⁰
Step-by-step explanation:
Give the height of the fence to be 2.4 m tall
Height of the tree = 16m
Horizintal distance from the fence to the tree = 10m
Check the diagram in the attachment.
From the attachment, we will need to first calculate the height AB
AC = AB+BC
Given AC = height of the r=tree = 16m
BC is the height of the fence = 2.4m
16 = AB + 2.4
AB = 16-2.4
AB = 13.6m
Using the SOH CAH TOA trig identity on right angled triangle AEB with AB as the opposite and AB and the adjacent as BE
Using TOA;
tan ∝ = opposite/adjacent = AB/BE
∝ is the angle of elevation of the top of the tree from the top of the fence.
tan∝ = 13.6/10
tan∝ = 1.36
∝ = tan⁻¹1.36
∝ = 53.67⁰
Hence the angle of elevation of the top of the tree from the top of the fence is 53.67⁰
