In ΔSTU, the measure of ∠U=90°, the measure of ∠S=19°, and US = 1.6 feet. Find the length of ST to the nearest tenth of a foot.

1.7 feet

Step-by-step explanation: x=1.6/cos 19=1.6922= 1.7 feet

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arc length = 6.63311 ft.

step-by-step explanation:

the formula the arc measure is:

arc length s=2πr(c)/360

where:

c   is the central angle of the arc in degrees

r   is the radius of the arc

π   is pi, approximately 3.142

using the above formula we get

s =

thus we find that arc length of an arc for a circle of radius 20 feet and central angle 19 degrees is

6.63311 feet