? Where is the picture of the triangle ? You need to show a picture
check the picture below.
make sure your calculator is in Degree mode.
now, Charlie's eyes are 5.2' from the ground, however the distance from his eyes over the horizontal and the ground over the horizontal, is the same, so taking the tan(32°) at his eyes level will give that horizontal distance.
If he drains 1/8 of a gallon in 1/2, the amount he will drain in one hour is twice as much as 1/8.
Mateo will drain 2/8 (simplified: 1/4) of a gallon in one hour.