Answered

Solve your doubts and expand your knowledge with IDNLearn.com's extensive Q&A database. Our community is here to provide detailed and trustworthy answers to any questions you may have.

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 :

Eduard22slyidn

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

#SPJ1

View image Eduard22sly
Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. IDNLearn.com has the answers you need. Thank you for visiting, and we look forward to helping you again soon.