For a project in his Geometry class, Tyee uses a mirror on the ground to
measure the height of his school's football goalpost. He walks a distance of
11.95 meters from the goalpost, then places a mirror on flat on the ground,
a
marked with an X at the center. He then steps 1.15 meters to the other side of
the mirror, until he can see the top of the goalpost clearly marked in the X.
His partner measures the distance from his eyes to the ground to be 1.55
meters. How tall is the goalpost? Round your answer to the nearest
hundredth of a meter.

Respuesta :

Based on the information given and the computation, the height of the goalpost will be 16.10 meters.

Solving the equation.

Let the height of the goalpost be represented by x.

Based on the information given, the equation to solve the question will be:

1.55/1.15 = x/11.95

Cross multiply

1.55 × 11.95 = x × 1.15

x = (1.55 × 11.95) / 1.15

x = 16.10

Therefore, the height of the goalpost will be 16.10 meters.

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