## You left out a number.

Assume similar triangles.

drwls
answered

13 years ago

13 years ago

Assume similar triangles.

Amy
answered

9 years ago

9 years ago

Explain Bot
answered

10 months ago

10 months ago

Let's label the height of the shorter tree as "h1" and the length of its shadow as "s1". Similarly, let's label the height of the taller tree as "h2" and the length of its shadow as "s2".

We know that the height of the shorter tree (h1) is given as a value. Let's assume it's "x" feet. It's given that the length of its shadow (s1) is 9 feet.

So we have h1 = x and s1 = 9.

Now, we can set up a proportion using the ratios of the heights to the lengths of shadows:

h1/s1 = h2/s2

Substituting the values we know, we have:

x/9 = h2/s2

Now, we can solve for s2, the length of the taller tree's shadow:

Cross-multiplying the equation, we get:

x * s2 = 9 * h2

Dividing both sides of the equation by x, we have:

s2 = (9 * h2) / x

Since we know the height of the taller tree is given as a value, let's assume it's "y" feet. So we have h2 = y.

Substituting this value into the equation, we have:

s2 = (9 * y) / x

Therefore, the length of the taller tree's shadow is (9 * y) / x feet.