-The angle of elevation from the roof of a house to the top of a tree is found to be 30o. If the height of the
house and tree is 6m and 18m respectively, calculate the distance between the house and the tree.
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Answer:
12×√3 or 20.78m is the distance between house and tree
Step-by-step explanation:
height of tree= 18m
height of house= 6 m
then the difference between the two heights are the length of perpendicular
since angle of elevation is 30°
using tan 30°= perpendicular/ base , we can find the distance of tree from house.
tan 30 = 1/√3
tan 30 = 12/ x
x= 12/tan 30
x= 12× 1/√3
x = 12√3
x= 20.78m
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