Question

bridgette is admiring a statue in millersburg park. the statue is 7 meters taller than she is, and bridgette is standing 5 meters away. how far is it from the top of the statue to bridgettes head? if necessary, round to the nearest tenth. ____ meters

Explanation:

Step1: Identify the triangle type

This is a right triangle problem, where the vertical side (height difference) is 7 meters, horizontal side (distance) is 5 meters, and we need the hypotenuse.

Step2: Apply Pythagorean theorem

The Pythagorean theorem is \( c = \sqrt{a^2 + b^2} \), where \( a = 7 \), \( b = 5 \). So \( c = \sqrt{7^2 + 5^2} = \sqrt{49 + 25} = \sqrt{74} \approx 8.6 \).

Answer:

\( 8.6 \)