154k views
3 votes
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.

2 Answers

1 vote

Answer:

6.8

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°

User Michael Durrant
by
6.4k points
2 votes

Answer: 6.8 feet

Explanation:

User Noobuntu
by
6.4k points
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