   Chapter 1, Problem 48P

Chapter
Section
Textbook Problem

A right triangle has a hypotenuse of length 3.00 m, and one of its angles is 30.0°. What are the lengths of (a) the side opposite the 30.0° angle and (b) the side adjacent to the 30.0° angle?

(a)

To determine
The opposite side length of the 30° angle.

Explanation

Given Info: The length of the hypotenuse is 3m . And angle (θ) is 30° .

Formula to calculate the opposite side length is,

sinθ=opposite sidehypotenuse

Substitute 3m for hypotenuse, 30° for θ to find opposite side length

sin(30)=opposite side(3m)

(b)

To determine
The adjacent side length of the 30° angle.

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