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Sergio [31]
3 years ago
14

a kid sits on top of a 12 foot slide, looking down with an angle of depression of 25 degrees. find the height of the slide

Mathematics
1 answer:
Nikolay [14]3 years ago
5 0

Answer:

Height of slide = 5 feet (Approx.)

Step-by-step explanation:

Given:

Length of slide = 12 feet

Angle of depression = 25°

Find:

Height of slide

Computation:

Length of slide = Hypotenuse

Height of slide = Perpendicular

Using trigonometry function;

Sin θ = Perpendicular / Hypotenuse

Sin 25 = Height of slide / 12

0.422 = Height of slide / 12

Height of slide = 12 x 0.422

Height of slide = 5.064

Height of slide = 5 feet (Approx.)

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Answer:

x = 13

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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  2. Parenthesis
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  • Multiplication Property of Equality
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Step-by-step explanation:

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<u>Step 2: Solve for </u><em><u>x</u></em>

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Since we are dealing with positive numbers, we can disregard the negative root.

∴ x = 13

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