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Identify ER rounded to the nearest tenth. The Figure shows right triangle M E R with right angle E. The length of hypotenuse M R is equal to 37 units. Angle R measures 61 degrees.
Answers;
a) ER ≈ 66.7
b) ER ≈ 32.4
c) ER ≈ 17.9
d) ER ≈ 22.3
Please give an explanation! :)

Sagot :

Eduard22sly

The value of length ER rounded to the nearest tenth is 17.9 units (Option C)

Trigonometric ratios

The trigonometric ratios which has been proven as regarding right angle triangles are given below:

Sine θ = Opposite / Hypothenus

Cos θ = Adjacent / Hypothenus

Tan θ = Opposite / Adjacent

With above information in mind, we can easily determine the length of ER in the question. This is illustrated below:

How to determine the length of ER

From the question given above, which is summarized in the diagram (see attached photo) the following data were obtained:

  • Hypothenus (MR) = 37 units
  • Angle R = 61 °
  • Adjacent (ER) = ?

Since we looking for the Adjacent (ER), the best trig ratio to use is the Cos θ ratio. This can be obtained as illustrated below:

Cos θ = Adjacent / Hypothenus

Cos 61 = ER / 37

Cross multiply

ER = 37 × Cos 61

ER = 37 × 0.4848

ER = 17.9 units

Thus, the length of ER to the nearest tenth is 17.9 units

Learn more about trigonometric ratios:

brainly.com/question/26719838

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View image Eduard22sly
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