Answer: The height of the palm tree is 21 feet.
Step-by-step explanation:
We can use a ratio to solve this:
Actual height to shadow for both objects. The fraction equivalents must be equal.
6/8 = x/28 . Cross multiply
6(28) = 8x
168 = 8x Divide both sides by 8 (8's "cancel" on the right)
168/8 =8x/8
21 = x . This gives us the tree's height as 21 feet.
<em>Another way to solve this is to use the ratios, but simplify the first fraction</em>
<em>6/8 = 3/4</em>
<em>Then multiply the length of the shadow by 3/4</em>
<em>3/4 × 28 = height</em>
<em>28÷4 = 7 7 × 3 = 21</em>
<em>21 feet= the height of the palm tree.</em>
This equation is currently in Point Slope Form. You can easily convert this form to Y Slope Intercept by following these steps.
Add 3 to both sides.
y = -2(x-2)
Simplify.
y = -2x + 4
2/3 * 6= 4 Or .66 * 6 = 3.999 etc Rounded Is 4
You add eight three times (8+8+8=24)
