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 40°, ∠K measures 90°, and j is 15 feet, then find k using the Law of Sines. Round your answer to the nearest tenth. 9.6 ft 10.4 ft 23.3 ft 154.5 ft

Answer 1

Answer:

k ≈ 23.3 ft(nearest ft)

Step-by-step explanation:

The triangle is a right angle triangle with side j, k and m. The angles are ∠J, ∠K and ∠M. The ∠K = 90° and ∠J = 40° .This means the last angle which is ∠M is 180 - 130 = 50°. The angles as quoted from the question is across the sides with the corresponding lowercase letters. Therefore,

Using the sine law

k/sin ∠K = j/sin ∠J

where

k = ?

∠K = 90°

j = 15 ft

∠J = 40°

k/sin ∠K = j/sin ∠J

k/sin 90° = 15/sin 40°

cross multiply

k sin 40° = 15 sin 90°

divide both sides by sin 40°

k = 15 sin 90°/sin 40°

k = 15/0.64278760968

k = 23.3358574031

k ≈ 23.3 ft(nearest ft)