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Drupady [299]
3 years ago
14

Let Angle w be an acute angle. Use a calculator to approximate the me

Mathematics
1 answer:
serious [3.7K]3 years ago
8 0

Answer:

<h2>49.5°</h2>

Step-by-step explanation:

Given the trigonometry function as shown sin W = 0.79, to get W, the following steps must be followed.

Step 1: Take the arcsin of both sides of the equation

sin^{-1}(sinW) =  sin^{-1}0.79\\W = sin^{-1}0.79

Step 2: Use a calculator to get the resulting value of W

W = 49.46^{0}

W = 49.5^{0} (to nearest tenth of a degree)

This gives the acute angle needed.

Note that acute angle are angles that are less than 90°

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In the right triangle ABC shown, c=17ft and angle A=30 degrees Determine side a
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Using relations in a right triangle, considering c as the hypotenuse, we have that the length of side A is: a = 8.5\sqrt{3}

<h3>What are the relations in a right triangle?</h3>

The relations in a right triangle are given as follows:

  • The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
  • The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
  • The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

From the information given, we can build the following relation:

cos(A) = a/c.

\frac{\sqrt{3}}{2} = \frac{a}{17}

a = \frac{17\sqrt{3}}{2}

a = 8.5\sqrt{3}

More can be learned about relations in a right triangle at brainly.com/question/26396675

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1 year ago
In AJKL, JL is extended through point L to point M, m m
arlik [135]

Answer:

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Step-by-step explanation:

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∠ KLM is an external angle of the triangle, thus

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5x - 7 = x + 20 + 2x + 3

5x - 7 = 3x + 23 ( subtract 3x from both sides )

2x - 7 = 23 ( add 7 to both sides )

2x = 30 ( divide both sides by 2 )

x = 15

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Answer:

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Step-by-step explanation:

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