Question

Use the Law of Sines to solve the following problem. If ∠C=28 degrees
and side c=28 m
, then what is the length of side a to the nearest meter?

(1 point)
Responses

25 m
25 m

15 m
15 m

53 m
53 m

62 m

Answer 1

To use the Law of Sines, we first need to know more about the triangle. We have:
- \( \angle C = 28^\circ \)
- Side \( c = 28 \, \text{m} \)

We're looking for the length of side \( a \). However, we still need information about the angles or sides in order to apply the Law of Sines.

The Law of Sines states:

\[
\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}
\]

With the given information, we have:

\[
\frac{c}{\sin C} = \frac{a}{\sin A}
\]

To find side \( a \), we rearrange to:

\[
a = \frac{c \cdot \sin A}{\sin C}
\]

Since we don't have \( \angle A \) or \( \angle B \), specifications on either of these angles are needed to proceed further. Without this information, we cannot find side \( a \).

If we assume a possible scenario, such as \( \angle A \) being an arbitrary angle, we would still need its measurement to calculate \( a \).

Please provide either \( \angle A \) or \( \angle B \) to find the requested side length.