Answered

Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

In ΔMNO, the measure of ∠O=90°, the measure of ∠M=74°, and OM = 5.4 feet. Find the length of NO to the nearest tenth of a foot.

Sagot :

Answer:

18.8 feet

Step-by-step explanation:

\tan M = \frac{\text{opposite}}{\text{adjacent}}=\frac{x}{5.4}

tanM=

adjacent

opposite

​

=

5.4

x

​

\tan 74=\frac{x}{5.4}

tan74=

5.4

x

​

5.4\tan 74=x

5.4tan74=x

Cross multiply.

x=18.832\approx \mathbf{18.8}\text{ feet}

x=18.832≈18.8 feet

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

M

N

O

5.4

18.8

(adjacent to ∠M)

(opp. of ∠M)

(hypotenuse)

74°

We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.