Question

JA 1.8 m tall girl stands at a distance of 4.6 m from a lamp post and casts a 5.4 m long shadow on the ground. Then, the height of the lamp post is ... m. 10 A. 1.53 B. C. 13.8 3 D. 0.8​

Answer 1

Answer:

3m

Explanation:

Let θ be the unknown angle of elevation.

Let DF be the man and AB be the lamp post.

Considering the given figure.

tanθ  = 1.8/5.4

       =x/3.6  

Hence

x= (3.6).(1.8) /5.4  

​   =1.2m

Hence

The height of the lamp post is  

1.2m+1.8m

=3m

Hope This Will Help U

Answer 2

in△CDE

tanθ = 1.8/5.4

=1/3

in △ABC

tanθ = h/5.4+4.6

1/3 = h/10

h =3.3m