In ΔMNO, the measure of ∠O=90°, the measure of ∠N=26°, and NO = 5.1 feet. Find the length of OM to the nearest tenth of a foot .

x=2.4874≈2.5 feet

Step-by-step explanation:

tanN=

adjacent

opposite

​

=

5.1

x

​

\tan 26=\frac{x}{5.1}

tan26=

5.1

x

​

5.1\tan 26=x

5.1tan26=x

let y equal to

the total fare and x is the mile of taxi ride. so the equation is

y = 0.55x + 1.75

since susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

x = 15 miles of

taxi ride

so the system of

inequality is

10 < 0.55x +

1.75

x > 2