weakshroud
weakshroud weakshroud
  • 08-07-2019
  • Mathematics
contestada

If RT = 6 and RS = 9, then RX =
A - sqrt(54)
B - 13.5
C - 7.2
D - 4

If RT 6 and RS 9 then RX A sqrt54 B 135 C 72 D 4 class=

Respuesta :

calculista
calculista calculista
  • 11-07-2019

Answer:

Option D RX=4 units

Step-by-step explanation:

we know that

In the right triangle RTS

The cosine of angle TRS is equal to

cos(TRS)=RT/RS

substitute

cos(TRS)=6/9 -----> equation A

In the right triangle RTX

The cosine of angle TRX is equal to

cos(TRX)=RX/RT

substitute

cos(TRX)=RX/6 -----> equation B

∠TRS=∠TRX -----> is the same angle

Match equation A and equation B

6/9=RX/6

RX=6*6/9=4 units

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