The top of a building 24cm high is observed from the top and from the bottom of a vertical tree .the angle of elevations are found to be 45 and 60 respectively find the height of the tree

2 answers

This must be a typo -- a building 24 cm high.

24 centimeters is about the length of my arm from my elbow to my hand.
A building 24 cm high???
Anyway, I will let you decide what units you are using.

Distance of tree from building ---- x
tan 60° = 24/x
x = 24/tan60° = ....

height of tree ---- h
tan 45° = (24-h)/x
1 = (24-h)/x
x = 24-h

solve for h