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Tema [17]
2 years ago
7

If a 30​-foot tree casts an 18​-foot ​shadow, find the length of the shadow cast by a 27-foot tree.

Mathematics
1 answer:
ipn [44]2 years ago
8 0

Answer:

16.2 foot shadow

Step-by-step explanation:

Let the shadow cast by 27 foot tree be x.

Using ratio and proportions,

18 / 30 = x / 27

(18 x 27) / 30 = x

x = 486 / 30

x = 16.2

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Read 2 more answers
How do you do this question?
r-ruslan [8.4K]

Step-by-step explanation:

y = 3 + 8x^(³/₂), 0 ≤ x ≤ 1

dy/dx = 12√x

Arc length is:

s = ∫ ds

s = ∫₀¹ √(1 + (dy/dx)²) dx

s = ∫₀¹ √(1 + (12√x)²) dx

s = ∫₀¹ √(1 + 144x) dx

If u = 1 + 144x, then du = 144 dx.

s = 1/144 ∫ √u du

s = 1/144 (⅔ u^(³/₂))

s = 1/216 u^(³/₂)

Substitute back:

s = 1/216 (1 + 144x)^(³/₂)

Evaluate between x=0 and x=1.

s = [1/216 (1 + 144)^(³/₂)] − [1/216 (1 + 0)^(³/₂)]

s = 1/216 (145)^(³/₂) − 1/216

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