you have similar triangles, so use simple ratios
x/40 = 6.5/4
x = 40(6.5)/4 = 65
they are 65 m apart.
x/40 = 6.5/4
x = 40(6.5)/4 = 65
they are 65 m apart.
Let's set up a proportion to solve for the distance between the monument and the meter.
Height of Monument / Length of Monument's Shadow = Height of Meter / Length of Meter's Shadow
Let's plug in the given values:
40 ft / Length of Monument's Shadow = 4 ft / 6.5 ft
Now, let's solve for the Length of the Monument's Shadow:
Length of Monument's Shadow = (40 ft × 6.5 ft) / 4 ft
Length of Monument's Shadow = (260 ft·ft) / 4 ft
Length of Monument's Shadow = 65 ft
So, the distance between the monument and the meter is equal to the length of the monument's shadow, which is 65 ft.
Let's label the distance between the monument and the meter as 'x'.
We have two similar right triangles, one formed by the monument's shadow and the other formed by the meter's shadow.
The height of the monument is 40ft, and its shadow is x ft long.
The height of the meter is 4ft, and its shadow is 6.5 ft long.
We can set up the following proportion:
(40ft / x ft) = (4 ft / 6.5 ft)
To find 'x', we need to solve for it.
Cross-multiplying, we get:
40ft * 6.5ft = 4ft * x
260ft = 4ft * x
Dividing both sides by 4ft:
260ft / 4ft = x
65ft = x
Therefore, the monument and the meter are 65 feet apart.