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In ΔRST, the measure of ∠T=90°, the measure of ∠R=67°, and TR = 94 feet. Find the length of RS to the nearest tenth of a foot......

In ΔRST, the measure of ∠T=90°, the measure of ∠R=67°, and TR = 94 feet. Find the length of RS to the nearest tenth of a foot...... class=

Answer :

Answer:

240.6 ft is your answer of your question.

${teks-lihat-gambar} Аноним
Nayefx

Answer:

240.6 feet

Step-by-step explanation:

to understand this

you need to know about:

  • trigonometry
  • PEMDAS

let's solve:

to find x we will use cos function

[tex] \quad \: \cos( \theta) = \dfrac{adj}{hypo} [/tex]

substitute the value of [tex]\theta[/tex] and adj:

[tex] \quad \: \cos( {67}^{ \circ} ) = \dfrac{94}{x} [/tex]

cross multiplication:

[tex] \quad \: x\cos(67^{\circ})= 94 [/tex]

divide both sides by cos(67°) :

[tex] \quad \: \dfrac{x \cos( {67}^{ \circ} ) }{ \cos( {67}^{ \circ} ) } = \dfrac{94}{ \cos( {67}^{ \circ} ) } \\ \therefore \: x = 240.6[/tex]

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