For the hook support of Problem 2.11, determine, using trigonometry, the magnitude and direction of the resultant

Question:

For the hook support of Problem 2.11, determine, using trigonometry, the magnitude and direction of the resultant of the two forces applied to the support knowing that P = 10 lb and α = 40°. Problem 2.11: Two forces are applied as shown to a hook support. Using trigonometry and knowing that the magnitude of P is 14 lb, determine

(a) The required angle α if the resultant R of the two forces applied to the support is to be horizontal,

(b) The corresponding magnitude of R

20 lb 30°