a girl 160 cm tall, stands 360 cm from a lamp post at night. Her shadow from the ligh

[Holly May]

a girl 160 cm tall, stands 360 cm from a lamp post at night. Her shadow from the light is 90 cm long. How high is the lamp post?

 

[Deleted member 4993]

a girl 160 cm tall, stands 360 cm from a lamp post at night. Her shadow from the light is 90 cm long. How high is the lamp post?

First draw a sketch of the situation.

You should see several similar triangles - whose sides will be proportional.

If the height of the lamp-post is 'L', then

L/(360+90) = 160/90

Then continue....