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ratelena [41]
3 years ago
10

Which algebraic expression is equivalent to the expression below?

Mathematics
1 answer:
puteri [66]3 years ago
7 0

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

let's evaluate ~

  • 7(2x + 8) - 2

  • 14x + 56 - 2

  • 14x + 54

Therefore , the correct choice is ~ A

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A 10 foot tree create a shadow that is 15 feet long. Find the angle of elevation of the sun
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Answer:

The angle of elevation of the sun is 33.7⁰

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let the height of the tree, T = 10 foot

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Let the remaining side, hypotenuse, L = ?

Apply Pythagoras theorem;

L ² = T² + B²

L ² = 10² + 15²

L ² = 325

L = √325

L = 18.03 ft

The angle of elevation of the sun, is the angle facing the height of the tree with the length of the shadow of the tree as adjacent of the triangle.

Let the angle of elevation = θ

tan θ = opp / adj

tan θ  = 10 / 15

tan θ  = 0.66667

θ = tan ⁻¹ (0.66667)

θ = 33.7⁰

Therefore, the angle of elevation of the sun is 33.7⁰

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4 years ago
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