after your holiday you have come home and decided that you are going to open up your own business.In order to advertise you put up a free standing sign.
you notice that the shadow of the sign is 4metres long when your shadow is 1.6m long
if you are 1.5m tall,how tallis your sign?
To determine the height of your sign, we can use a proportional relationship between the length of your shadow and your height. Here's how you can calculate it:
First, let's set up the proportion using the given information:
1.6m (length of your shadow) corresponds to 1.5m (your height)
4m (length of the sign's shadow) corresponds to "x" (height of the sign)
The proportion can be written as:
1.6m / 1.5m = 4m / x
To solve for "x," we can cross-multiply and then divide to find the answer:
1.6m * x = 1.5m * 4m
1.6x = 6m²
Now, divide both sides of the equation by 1.6 to solve for "x":
x = 6m² / 1.6
x = 3.75m
Therefore, the height of your sign is 3.75 meters.
4/h=1.6/1.5
h=6/1.6 check my work.
1.5/1.6 = x/4
Cross multiply and solve for x.
4/1.6=1.5/x
x=0.6