Answer: 20.1
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°