brayanportillo158
brayanportillo158 brayanportillo158
  • 17-07-2019
  • Mathematics
contestada

Find the length of ST In the kite.

Find the length of ST In the kite class=

Respuesta :

mathstudent55
mathstudent55 mathstudent55
  • 17-07-2019

Answer:

1.29

Step-by-step explanation:

The diagonals of a kite are perpendicular.

Angles QRT and SRT are congruent.

In right triangle STR, for angle TRS, ST is the opposite leg, and SR is the hypotenuse. The sine ratio relates the opposite leg to the hypotenuse, so we use the sine ratio to find the length of segment ST.

sin <TRS = opp/hyp

sin <TRS = ST/SR

sin 23 deg = ST/3.3

ST = 3.3 * sin 23 deg

ST = 1.29

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