Question

In ΔUVW, the measure of ∠W=90°, the measure of ∠U=40°, and WU = 1.8 feet. Find the length of UV to the nearest tenth of a foot.

Answer 1

Answer:

2.3 is the answer

Step-by-step explanation:

Answer 2

Answer: 2.3

Step-by-step explanation:

​

=

x

1.8

​

\cos 40=\frac{1.8}{x}

cos40=

x

1.8

​

x\cos 40=1.8

xcos40=1.8

Cross multiply.

\frac{x\cos 40}{\cos 40}=\frac{1.8}{\cos 40}

cos40

xcos40

​

=

cos40

1.8

​

Divide each side by cos 40.

x=\frac{1.8}{\cos 40}=2.3497\approx 2.3\text{ feet}

x=

cos40

1.8

​

=2.3497≈2.3 feet