In ΔMNO, the measure of ∠O=90°, the measure of ∠N=40°, and NO = 8.1 feet. Find the length of OM to the nearest tenth of a foot.

6.8

Step-by-step explanation:

tanN=  

adjacent

opposite

=  

8.1

x

\tan 40=\frac{x}{8.1}

tan40=  

8.1

x

8.1\tan 40=x

8.1tan40=x

Cross multiply.

x=6.7967\approx \mathbf{6.8}\text{ feet}

x=6.7967≈6.8 feet

Type into calculator and roundto the nearest tenth of a foot.

M

N

O

6.8

8.1

(opposite of ∠N)

(adj. to ∠N)

(hypotenuse)

40°

d. vertex

step-by-step explanation: