**Question:**In ΔNOP, the measure of ∠P = 90°, NP = 35, ON = 37, and PO = 12. What ratio represents the sine of ∠N?**Explanation:**To find the sine of ∠N in right triangle ΔNOP:1. Identify the sides in relation to ∠N: - The opposite side to ∠N is PO (length = 12). - The hypotenuse is ON (length = 37).2. Use the sine function definition for a right triangle: \[\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}\]Applying this definition to ∠N:\[ \sin(N) = \frac{PO}{ON} = \frac{12}{37} \]Therefore, the ratio that represents the sine of ∠N is $ \frac{12}{37} $.

Answered: In ANOP, the measure of ZP=90°, NP =…

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In ANOP, the measure of ZP=90°, NP = 35, ON = 37, and PO = 12. What ratio %3D represents the sine of ZN?

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter11: Addition And Subtraction Of Decimal Fractions

Section: Chapter Questions

Problem 11A

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Concept explainers

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.

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