a 1.6 metre tall girl stands at a distance of 3.2 metre from lamp post and Casts a shadow 4.8 metre on the ground find the height of the lamp post
Answers
Answered by
9
Let AB be the tower of height h m
Then CD to be the height of the girl &DE be the length of the shadow of the girl
If CD=1.6m,AD=3.2cm &DE=4.8m
In ΔCDE
tan E=CD/ED (tan∅ perpendicular/base)
tan E=1.6m/4.8m=1/8................(i)
in ΔBAE
tan E=AB/AE
Therefore 1/3=hm/(3.2+4.8)
1/3=h/8
h=8/3(length of the lamp)
Then CD to be the height of the girl &DE be the length of the shadow of the girl
If CD=1.6m,AD=3.2cm &DE=4.8m
In ΔCDE
tan E=CD/ED (tan∅ perpendicular/base)
tan E=1.6m/4.8m=1/8................(i)
in ΔBAE
tan E=AB/AE
Therefore 1/3=hm/(3.2+4.8)
1/3=h/8
h=8/3(length of the lamp)
Similar questions