Question

Two angles of a triangle are $\frac{1}{6}\pi$ and $\frac{1}{3}\pi$. The length of the side opposite the angle with measure $\frac{1}{3}\pi$ is equal to 2. What is the length of the side opposite the angle with measure $\frac{1}{6}\pi$? (Give a decimal approximation correct to at least two decimal places.)

Name: Two angles of a triangle are (1)/(6)π and (1)/(3)π. The length of the side opposite the angle with measure (1)/(3)π is equal to 2. What is the length of the side opposite the angle with measure (1)/(6)π? (Give a decimal approximation correct to at least two decimal places.)
Uploaded: 2022-10-16T22:24:28-08:00
Duration: 2 min 49 s
Channel: Jessica Horn
Description: Two angles of a triangle are (1)/(6)π and (1)/(3)π. The length of the side opposite the angle with measure (1)/(3)π is equal to 2. What is the length of the side opposite the angle with measure (1)/(6)π? (Give a decimal approximation correct to at least two decimal places.)

          Two angles of a triangle are $\frac{1}{6}\pi$ and $\frac{1}{3}\pi$. The length of the side opposite the angle with measure $\frac{1}{3}\pi$ is equal to 2. What is the length of the side opposite the angle with measure $\frac{1}{6}\pi$? (Give a decimal approximation correct to at least two decimal places.)

Two angles of a triangle are (1)/(6)π and (1)/(3)π. The length of the side opposite the angle with measure (1)/(3)π is equal to 2. What is the length of the side opposite the angle with measure (1)/(6)π? (Give a decimal approximation correct to at least two decimal places.)

Added by Ruben M.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Jessica Horn

10/16/2022

Step 1

The law of sines states that for any triangle with angles A, B, and C and sides a, b, and c opposite their respective angles: \[\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}\] Show more…

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Two angles of a triangle are (1)/(6)π and (1)/(3)π. The length of the side opposite the angle with measure (1)/(3)π is equal to 2. What is the length of the side opposite the angle with measure (1)/(6)π? (Give a decimal approximation correct to at least two decimal places)