A man who is 6.2 ft tall casts a shadow that
is 13.6 ft long. Find the height of a
petrified stump that casts a 16.9 ft shadow.
Use this proportion. Cross multiply and solve for x.
6.2/13.6 = x/16.9
To find the height of the petrified stump, we can use a proportion.
First, let's write down the given information in the form of a proportion:
Height of the man / Length of the man's shadow = Height of the stump / Length of the stump's shadow
We can substitute the given values into this proportion:
6.2 ft / 13.6 ft = Height of the stump / 16.9 ft
Now, we can solve for the height of the stump by cross-multiplying and then dividing:
(6.2 ft) * (16.9 ft) = (13.6 ft) * (Height of the stump)
105.08 ft = 13.6 ft * (Height of the stump)
Next, we can isolate the height of the stump by dividing both sides of the equation by 13.6 ft:
(105.08 ft) / (13.6 ft) = Height of the stump
Simplifying the equation gives:
7.72 ft = Height of the stump
Therefore, the height of the petrified stump is approximately 7.72 ft.