Question

bernie is admiring a statue in georgetown park from 8 meters away. if the distance between the top of the statue to bernies head is 9 meters, how much taller is the statue than bernie? if necessary, round to the nearest tenth. t meters submit

Explanation:

Step1: Identify right triangle sides

We have a right triangle where one leg is the horizontal distance ($a=8$ m), the hypotenuse is the distance from the statue top to Bernie's head ($c=9$ m), and the other leg $b$ is the height difference we need.

Step2: Apply Pythagorean theorem

Use $c^2 = a^2 + b^2$, rearrange to solve for $b$:
$$b = \sqrt{c^2 - a^2}$$

Step3: Substitute values and calculate

$$b = \sqrt{9^2 - 8^2} = \sqrt{81 - 64} = \sqrt{17} \approx 4.1$$

Answer:

4.1 meters