Question

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

Answer 1

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

Answer 2

Answer:

y° = 20°

Step-by-step explanation:

Use tangent.

$tangent=\dfrac{opposite}{adjacent}$

We have

$opposite=5\\adjacent=14$

Substitute:

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