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balu736 [363]
2 years ago
10

Point X is on line segment WY. Given WY=16 and WX=10, determine the length XY

Mathematics
1 answer:
CaHeK987 [17]2 years ago
5 0

The length of XY on the line segment WY is 6 units.

<h3>How to find line segment?</h3>

The full line segment is WY.

Point X is on the line segment WY.

Therefore,

WY = 16 units

WX = 10 units

XY = WY - WX

Hence,

XY = 16 - 10 = 6 units.

Therefore, the length of XY on the line segment WY is 6 units.

learn more on segment here: brainly.com/question/11647191

#SPJ1

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Find the values of x and y
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You can use a tangent:

tangent=\dfrac{opposite}{adjacent}

We have opposite = 17 and adjacent = x.

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substitute:

\dfrac{17}{x}=\dfrac{\sqrt3}{3}       cross multiply

x\sqrt3=(3)(17)     multiply both sides by √3

x(\sqrt3)(\sqrt3)=51\sqrt3

3x=51\sqrt3      divide both sides by 3

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Use the Pythagorean theorem:

y^2=(17\sqrt3)^2+17^2\\\\y^2=289(\sqrt3)^2+289\\\\y^2=289\cdot3+289\\\\y^2=867+289\\\\y^2=1156\to y=\sqrt{1156}\\\\y=34

-------------------------------------------------------------------------------------------------

Other method.

30^o-60^o-90^o triangle.

The sides are in the ratio 1:2:\sqrt3\to17:y:x

Therefore

17:(2\cdot17):(17\sqrt3)\to17:34:17\sqrt3\to x=34,\ y=17\sqrt3

 


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