in sunlight, a vertical stick 7 ft tall casts a shadow 3 ft long. At the same time a nearby tree casts a shadow 11 ft long. How tall is the tree?Round to the nearest tenth.

To find the height of the tree, we can use ratios. Let's denote the height of the tree as 'x'.

We have the following information:
Height of the stick = 7 ft
Length of the stick's shadow = 3 ft
Length of the tree's shadow = 11 ft

Now, we can set up the following ratio between the stick and its shadow:
Height of the stick / Length of the stick's shadow = Height of the tree / Length of the tree's shadow

Plugging in the values we know:
7 ft / 3 ft = x / 11 ft

To solve for 'x', we can cross-multiply:
7 ft * 11 ft = 3 ft * x

77 ft^2 = 3x

Divide both sides of the equation by 3:
77 ft^2 / 3 = x

The approximate height of the tree is x = 25.7 ft when rounded to the nearest tenth.

3/7 = x/11

7x = 33

x = 4.7 ft