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Answer :
Final answer:
To find Hayden's shadow length, use a proportion to compare the heights and shadow lengths of Charlie and Hayden.
Explanation:
To find the approximate length of Hayden's shadow, we can set up a proportion using the heights and shadow lengths of Charlie and Hayden. Since the heights are directly proportional to the shadow lengths, we can write:
(Charlie's height)/(Charlie's shadow) = (Hayden's height)/(Hayden's shadow)
Substituting the given values:
(64 inches)/(30 inches) = (68 inches)/(x)
Cross-multiplying, we get:
64x = 30 * 68
Dividing both sides by 64, we find:
x = (30 * 68)/64
x ≈ 31.875 inches
Therefore, Hayden's shadow is approximately 31.875 inches long.
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The length of Hayden shadow is 31.875 inches.
Equation
Equation is an expression which is used to show the relationship between two or more variables and numbers.
Let y represent Charlie height and x represent his shadow.
y ∝ x
y = kx
Charlie is 64 inches tall and casts a shadow of 30 inches. Hence:
- 64 = 30k
- k = 2.13
y = 2.13x
If Hayden is 68 inches tall, hence:
- 68 = 2.13x
- x = 31.875
The length of Hayden shadow is 31.875 inches.
Find out more on equation at: https://brainly.com/question/13763238
