Question
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
Answers
Ms. Sue
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.
24 centimeters is about the length of my arm from my elbow to my hand.
Reiny
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
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