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Find the value of X. Round your answer to the nearest tenth if necessary.

Find The Value Of X Round Your Answer To The Nearest Tenth If Necessary class=

Sagot :

Answer:

x=4.7

y=1.7

Step-by-step explanation:

to understand this

you need to know about:

  • trigonometry
  • PEMDAS

given:

  • GJ=5
  • <GJH=71°

to find:

  • x
  • y

TIPS AND FORMULAS:

  • [tex] \sin( \theta) = \frac{opp}{hypo} [/tex]
  • [tex]pythagoras \: theorm : \\ {a}^{2} + b ^{2} = {c}^{2} [/tex]

let's solve:

according to the question

[tex] \sin( {71}^{o} ) = \frac{x}{5} [/tex]

[tex]x =5 \sin( {71}^{o} ) [/tex]

[tex]x = 4.72[/tex]

[tex] \huge x = 4.7[/tex]

[tex]pythagoras \: theorm : \\ {a}^{2} + b ^{2} = {c}^{2} [/tex]

[tex]b = \sqrt{c ^{2} - {a}^{2} } [/tex]

[tex]b = \sqrt{ {5}^{2} - {4.7}^{2} } [/tex]

[tex] \huge b = 1.7[/tex]

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