Question

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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.

Answer 1

1.55 feet.

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.