Question

More trig questions...
ONE -
Danny and Stacey have gone from the swing to the slide at the park. The slide is inclined at an angle of a = 56.0°.
Danny weighs 40.0 pounds. He is sitting in a cardboard box with a piece of wax paper on the bottom. Stacey is at the top of the slide holding on to the cardboard box (see the figure below). Find the magnitude of the force Stacey must pull with, in order to keep Danny from sliding down the slide. (We are assuming that the wax paper makes the slide into a frictionless surface, so that the only force keeping Danny from sliding is the force with which Stacey pulls. Round your answer to one decimal place.)
FIGURE A - http://www.webassign.net/mcktrig6/2-5-037.gif

TWO -
Jadon is 5 years old and weighs 42.0 pounds. He is sitting on a swing when his cousin Allison pulls him and the swing back horizontally through an angle of 35.0° and then stops. Find the magnitude of the force exerted by Allison (see the figure below).
FIGURE B - http://www.webassign.net/mcktrig7/2-5-059.gif

Answer 1

FULL:
ONE - http://icecream.me/f2de6848075baa9f18c05b853602d902
TWO - http://icecream.me/92037082b8d26d230ff924feb654b4e0

Answer 2

Here theta is 56 degrees
The normal reaction and mg cosine theta components balance each other, so to keep Danny in equilibrium, Stacy must apply a force mg sin theta in the opposite direction, or -mg sin theta