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In ΔTUV, the measure of ∠V=90°, the measure of ∠U=85°, and VT = 20 feet. Find the length of TU to the nearest tenth of a foot.
Question
In ΔTUV, the measure of ∠V=90°, the measure of ∠U=85°, and VT = 20 feet. Find the length of TU to the nearest tenth of a foot.
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Mathematics
4 years
2021-08-26T08:49:21+00:00
2021-08-26T08:49:21+00:00 2 Answers
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Answers ( )
Answer: 20.1
Step-by-step explanation:
sinU=
hypotenuse
opposite
=
x
20
\sin 85=\frac{20}{x}
sin85=
x
20
x\sin 85=20
xsin85=20
Cross multiply.
\frac{x\sin 85}{\sin 85}=\frac{20}{\sin 85}
sin85
xsin85
=
sin85
20
Divide each side by sin 85.
x=\frac{20}{\sin 85}=20.0764\approx 20.1\text{ feet}
x=
sin85
20
=20.0764≈20.1 feet
Type into calculator and roundto the nearest tenth of a foot.
T
U
V
20
20.1
(opposite of ∠U)
(adj. to ∠U)
(hypotenuse)
85°
Answer: 20.1
Step-by-step explanation: I if you are here from delta math this is the answer