Question

Stadium Seats Your seat at a football

game is directly in front of the 10-yard line,
30 yards from the field. Your position forms
congruent angles with the 10-yard line, the
25-yard line, and the 50-yard line as shown
in the figure. How far are you from where
the 50-yard line intersects the sideline?

Answer 1

Your distance from where the 50-yard line intersects the sideline is: 50 yards

How to solve the direct ratio?

We are told that:

Your seat at a football game is directly in front of the 10-yard line, 30 yards from the field.

Your position forms congruent angles with the 10-yard line, the 25-yard line, and the 50-yard line as shown in the figure.

Using the concept of direct ratio for congruency, we have:

30/15 = x/25

where x is your distance from where the 50-yard line intersects the sideline.

Thus, cross multiply to get:

x = (30 * 25)/15

x = 50 yards