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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-example-1

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check the picture below.
Find the measure of angle y. Round your answer to the nearest hundredth. (Numerical-example-1
User Trmaphi
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2 votes

Answer:

11.53°

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°

User Johan Dahlin
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8.4k points