A sled is being pulled across a floor by two ropes such that the angle between them is 40°. If the forces on the ropes are 100 pounds and 150 pounds, what is the resultant of the forces? 98 lb 192 lb 228 lb 236 lb

Answer:option 4 ⇒ 236 lb.Step-by-step explanation:Best explanation of the question is as shown in the attached figure.we will use the parallelogram method to calculate resultant force.to get the length of the resultant force ⇒ use the cosines lawThe cosine law is a² = b² + c² - 2 * b * c * cos (∠A)Applying at the question where b = F₁  , c = F₂  and  ∠A = ∠xGiven that F₁ = 100 pounds  , F₂ = 150 pounds  and  ∠x = 180° - 40° = 140°∴ (Resultant force)² = 100² + 150² - 2 * 100 * 150 * cos (∠140) = 55481∴ Resultant force = √55481 = 235.54 ≅ 236 poundsThe answer is option 4 ⇒ 236 lb.