A crate is hanging by a rope The rope is making an angle of

A crate is hanging by a rope. The rope is making an angle of 2degrees28\' with the vertical and has a tension T of 2862 pounds. The horizontal rope is pulling and guiding the crate into place. Find the weight W of the crate and the tension H in the horizontal rope. (round to nearest tenth)

Solution

angle of rope with horizontal x=90^o-2^o28\'=87^o32\'

tensionT=2862

weight of crate =Tsinx

weight of crate =2862sin87^o32\'

weight of crate =2859.3 pounds

tension H in the horizontal rope.=Tcosx

tension H in the horizontal rope.=2862cos87^o32\'

tension H in the horizontal rope.=123.2 pounds