Question

what is the altitude of the plane? round your answer to the nearest meter.
850 m
770 m
note: figure is not drawn to scale.
the planes altitude is
meters.

Explanation:

Step1: Apply Pythagorean theorem

The Pythagorean theorem for a right triangle is $a^2 + b^2 = c^2$, where $c$ is the hypotenuse, $b=770$ m, $c=850$ m, and $a=x$ (altitude). Rearrange to solve for $x$:
$x^2 = c^2 - b^2$

Step2: Substitute given values

$x^2 = 850^2 - 770^2$
Calculate the squares:
$850^2 = 722500$, $770^2 = 592900$
Subtract:
$x^2 = 722500 - 592900 = 129600$

Step3: Solve for x

Take the square root of both sides:
$x = \sqrt{129600}$

Answer:

360 meters