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Sauron [17]
3 years ago
8

Alex is practicing his dives at a pool. He dies from the diving board that is 15 feet above the surface of water. His dive takes

him 15 feet below the surface of water. Alex says that the two distances are opposites, so his total dive distance is 15+ -15 equals 0 feet. Are the two distances opposite? Is Alex his total dive distance correct? Explain your reasoning
Mathematics
1 answer:
PIT_PIT [208]3 years ago
3 0

Answer:

Alex is wrong in calculating his dive distance Actual Dive distance is 30 feet.

Step-by-step explanation:

Given:

Distance from where he dive from = 15 feet

Distance he reached after dive = 15 feet

Also Given:

Alex says that the two distances are opposites,

Also Total distance of dive according to Alex = 15 +-15 =0 feet

Solution:

We know that the diving board is 15 feet above the water level, but here it is important to know that even he is above the surface of the water he is diving in the water and then he reached 15 deep in the water.

From above scenario we can say that the two distances are in the same direction.

Total Distance of dive will be = 15 +15 =30 feet.

Hence We can say that Alex is wrong in calculating his dive distance Actual Dive distance is 30 feet.

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\displaystyle x \approx 8.2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
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  • Left to Right  

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  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Trigonometry</u>

[Right Triangles Only] SOHCAHTOA

[Right Triangles Only] sinθ = opposite over hypotenuse

Step-by-step explanation:

<u>Step 1: Identify Variables</u>

Angle θ = 23°

Opposite Leg = <em>x</em>

Hypotenuse = 21

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

  1. Substitute in variables [sine]:                                                                         \displaystyle sin(23^\circ) = \frac{x}{21}
  2. [Multiplication Property of Equality] Isolate <em>x</em>:                                              \displaystyle 21sin(23^\circ) = x
  3. Rewrite:                                                                                                           \displaystyle x = 21sin(23^\circ)
  4. Evaluate:                                                                                                         \displaystyle x = 8.20535
  5. Round:                                                                                                             \displaystyle x \approx 8.2
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