Question

If ∠J measures 45°, ∠M measures 40°, and j is 7 feet, then find m using the Law of Sines. Round your answer to the nearest tenth.

Group of answer choices

6.4 ft

7.7 ft

8.5 ft

23.7 ft

Answer 1

Answer: 6.4 ft

Explanation:

Answer 2

To find the length of side M, we can use the Law of Sines. The Law of Sines states that the ratio of the length of a side to the sine of its opposite angle is the same for all sides in a triangle.

Using the given information, we have:

∠J = 45°
∠M = 40°
Side j = 7 ft

Let's use the Law of Sines formula:

sin(∠M) / m = sin(∠J) / j

Substituting the values:

sin(40°) / m = sin(45°) / 7

To find m, we rearrange the equation:

m = (sin(40°) * 7) / sin(45°)

Calculating the value:

m ≈ 6.4 ft

Therefore, the length of side M is approximately 6.4 ft (rounded to the nearest tenth).