📚 How to find the tangential and normal components of a vector

Question 1:

A sled whose weight W is 386 lb is on an icy incline making an angle of 27.4º with the horizontal.

Find:

(a) The normal component N and
(b) the tangential component T of the sled’s weight.
(c) What force F parallel to the incline is needed to keep the sled from sliding down the hill?

Question 2:

A person wishes to pull a 255-lb weight up an incline to the top of a wall 14.5 ft high. Neglecting friction, what is the length of the shortest incline (measured along the incline) that can be used if the person’s pulling strength is 145 lb?