The height of one trees is 34.64 meters
The height of other tree is 23.83 meters
Explanation:
Given as :
The distance between two trees = d = 40 meters
Nikki is standing at the center O of two tress
The distance between center to one tree = OB = 20 meters
The distance between center to others tree = OD = 20 meters
The angle of elevation of one tree = 60°
The angle of elevation of other tree = 50°
Let The height of one tree = H meters
Let The height of other tree = h meters
Now, From figure
Tan angle =
p
�
�
�
�
�
�
�
�
�
�
�
�
b
�
�
�
base
perpendicular
Or, Tan 60°=
�
�
�
�
BO
AB
Or, 1.732 =
�
20
20
H
∴ H = 20 × 1.732
i,e H = 34.64 meters
So, The height of one tree = H = 34.64 meters
Again
Tan 50°=
�
�
�
�
DO
CD
Or, 1.1917 =
ℎ
20
20
h
∴ h = 20 × 1.1917
i,e h = 23.83 meters
So, The height of other tree = h = 23.83 meters
Hence, The height of one trees is 34.64 meters and The height of other tree is 23.83 meters Answer