Question

-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.

Answer 1

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