Question

Megan is flying a kite that is 60 yards above the ground. The length of the kite string is 100 yards. What is the distance from Megan to the point on the ground directly below the kite. ​

Answer 1

Given:

The height of the kite from the ground = 60 yards

The length of the string of the kite = 100 yards.

To find the distance from Megan to the point on the ground directly below the kite.

Formula

By Pythagoras theorem for a right angle triangle we get,

$h^{2} =l^{2} +b^{2}$ where, h be the hypotenuse, b be the base, l be the another side along right angle.

Now,

Here, putting l = 60 and h = 100 we get,

$100^{2} = b^{2} +60^{2}$

   $b^{2}$ = $100^{2} -60^{2}$

   $b^2 = 10000-3600$

    $b = \pm \sqrt{6400}$

    $b = \pm 80$

Here we will take b = 80 because the length cannot be measured in negative.

Hence, the distance from Megan to the point on the ground directly below the kite is 80 yard. ​

Thus, Option D is the correct answer.