physics- force question, please help :)

Question

A child is pulling a 11.4 kg wagon by the handle. This 27.4 N pull force is applied through the handle and acts on the wagon at an angle of 35° above horizontal. Calculate the normal force on the wagon.

in terms of Newtons. Do not include units in your answer. They will be assumed to be N.
to a precision of tenths of a N. Use a format like ##.# in your answer.
to an accuracy of 0.2 N. Answers within 0.2 N of the correct answer will be tolerated.

Answer 1

T = pull = 27.4 N  [given]

θ = angle of pull above horizontal = 35º  [given]

m = mass = 11.4 kg

F_n = normal force = ?

 

Assume up is (+) and down is (-).  Set up equilibrium of forces in vertical direction and solve for F_n:

 

Tsinθ + F_n = mg

 

F_n = mg - Tsinθ = [(11.4)(9.8) - (27.4)sin(35°)] N = 96.00 N