Question

Ava is in a hot air balloon that has just taken off and is floating above its launching point. Mary is standing on the ground 4 meter away from the launching point. If ava and mary are 5 meters apart, how high up is ava ?

Answer 1

Answer:

Ava's altitude is 3 meters.

Step-by-step explanation:

The position of Ava and Mary can be described by the sides of a right angled triangle. Let Ava's altitude be represented by x.

So that applying the Pythagoras theorem, we have;

$/hyp/^{2}$ = $/Adj 1/^{2}$ + $/Adj 2/^{2}$

$5^{2}$ = $4^{2}$ + $x^{2}$

25 = 16 + $x^{2}$

$x^{2}$ = 25 - 16

   = 9

x = $\sqrt{9}$

   = 3

x = 3 meters

Thus, Ava's altitude is 3 meters.