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Stells [14]
3 years ago
6

Find the measure of angle y. Round your answer to the nearest hundredth.

Mathematics
2 answers:
Irina-Kira [14]3 years ago
6 0

Answer:

20 degrees

Step-by-step explanation:

Hello

this is a right triangle, In a right triangle, the hypotenuse is the longest side, an "opposite" side is the one facing a given angle, and an "adjacent" side is next to a given angle.

Hence according to the graph

if "y" is the angle

opposite side = 5 units

adjacent side = 14 units

to find the value of "y" it is  possible to use the tangent fuction, wich is given by.

tan (y)=\frac{opposite\ side}{adjacent\ side} \\

replacing

tan (y)=\frac{5}{14}\\ to\ isolate\ y, do\ inverse\ tan\ in\ each\ side\\ tan^{-1} (tan(y))=tan^{-1}\frac{5}{14} \\ y=tan^{-1}(\frac{5}{14})\\

using a table or a calculator you can find this value

tan^{-1}(\frac{5}{14})=19.65\ degrees\\\\y=20\ degrees

Have a great day

Cloud [144]3 years ago
3 0

Answer:

<h2>y° = 20°</h2>

Step-by-step explanation:

Use tangent.

tangent=\dfrac{opposite}{adjacent}

We have

opposite=5\\adjacent=14

Substitute:

\tan y^o=\dfrac{5}{14}\\\\\tan y^o\approx0.3571\to y^o\approx20^o

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