Question

A soccer goal is 24 feet wide. Point A is 40 feet in front of the center of the goal. Point B is 40 feet in front of the right goal post. Which angle is larger A or B? How much larger?

Answer 1

1. Draw a sloped line(hyp) from Lt.side
of the goal to point A.

2. Draw a sloped line from Lt. side of
goal to point B.

3. Calculate angle between eacdh hyp
and the hor:

tanA = Y/X = 40 / 12 = 3.33,
A = 73.3 deg.

tanB = 40 / 24 = 1.67,
B = 59 deg.

A - B = 73.3 - 59 = 14.3 deg.
A is 14.3 deg larger.

Answer 2

Correction: A = 90 - 73.3 = 16.7 deg.
B = 90 - 59 = 31 deg.

B - A = 31 - 16.7 = 14.3 deg.
B is 14.3 deg. Larger than A.