jadarodriguez33
jadarodriguez33 jadarodriguez33
  • 03-04-2021
  • Mathematics
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In ARST, the measure of ZT=90°, the measure of ZR=24°, and RS = 3.8 feet. Find
the length of ST to the nearest tenth of a foot.

Watch help video In ARST the measure of ZT90 the measure of ZR24 and RS 38 feet Find the length of ST to the nearest tenth of a foot class=

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Eduard22sly
Eduard22sly Eduard22sly
  • 08-04-2021

Answer:

1.55 feet.

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle R = 24°

Hypothenus = RS = 3.8 feet

Opposite = ST = x

The value of x can be obtained by using the sine ratio. This is illustrated below:

Sine R = Opposite / Hypothenus

Sine 24 = x / 3.8

Cross multiply

x = 3.8 × Sine 24

x = 3.8 × 0.4067

x = 1.55 feet

Thus, the Lenght ST is 1.55 feet.

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