Question

Triangle jkm with side j across from angle j, side k across from angle k, and side m across from angle m 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. a.6.4 ft

b 7.7 ft c 8.5 ft d 23.7 ft

Answer 1

To find the length of side m using the law of sines, we can use the formula m = (j * sin(m))/(sin(j)). Plugging in the given values, we get m ≈ 8.5 ft.

Step-by-step explanation:

To find the length of side m using the law of sines, we can use the formula:

m = (j * sin(m))/(sin(j))

Plugging in the given values, we have:

m = (7 * sin(40))/(sin(45))

Using a calculator to evaluate the sine values, we get:

m ≈ 8.5 ft

the length of side m using the law of sines 8.5 ft.

Therefore, the correct answer is c. 8.5 ft.