kkacper1402 kkacper1402
  • 13-11-2017
  • Mathematics
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Find the measure of angle y. Round your answer to the nearest hundredth. (Numerical answer only)

Find the measure of angle y Round your answer to the nearest hundredth Numerical answer only class=

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jdoe0001 jdoe0001
  • 13-11-2017
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dsdrajlin
dsdrajlin dsdrajlin
  • 18-01-2020

Answer:

11.53°

Step-by-step explanation:

We have a right triangle, so we will calculate the sine of y, which is equal to the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse).

sin y = 4/20 = 1/5

To find y, we apply the inverse function of the sine.

sin y = 1/5

y = arc sin 1/5 = 11.53°

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