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Can someone please explain how to get this answer

Can someone please explain how to get this answer-example-1

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Answer:

tan(29°) = Opposite side / 4

Now, solve for the opposite side:

Opposite side = 4 * tan(29°)

Using a calculator:

Opposite side ≈ 4 * 0.5543 ≈ 2.2172

Explanation:

You have a triangle with an angle of 29° and one side length of 4 units. You want to find the length of the side opposite the 29° angle, which we'll call "x" and it's inside the green box.

We'll use the tangent (tan) trigonometric function, which is defined as:

tan(angle) = Opposite side / Adjacent side

In your case, the angle is 29°, the opposite side is "x" (what we're trying to find), and the adjacent side is 4 (given in the problem).

Write down the equation using the tangent function:

tan(29°) = x / 4

  • Now, you need to solve for "x." To do this, first find the value of tan(29°) using a calculator.

tan(29°) ≈ 0.5543 (rounded to four decimal places)

  • Now, rewrite the equation with the value of tan(29°):

0.5543 = x / 4

  • To isolate "x," multiply both sides of the equation by 4:

0.5543 * 4 = x

Calculate the result:

x ≈ 2.2172

  • Finally, round the answer to the nearest hundredth (two decimal places):

x ≈ 2.22

So, the number that belongs in the green box is approximately 2.22 units.

User Jboxxx
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