Answer:
The kite is 35.71 m high from Emily.
Step-by-step explanation:
Supposing that the kite's string is a <em>straight line</em>, Anna, Emily and the kite form a right triangle (see the figure below).
A right triangle follows the <em>Pythagoras' theorem</em> (or <em>Pythagorean theorem</em>):
, where c is the <em>hypotenuse </em>and <em>a</em> and <em>b, the other two sides</em> (<em>catheti</em>).
Since the opposite side to the <em>right angle </em>(90°) is the hypotenuse, in this case, c = 50 m, and we know that d = 35 m (the distance from Anna to Emily, or vice versa), we can rewrite the equation for this problem as follows (<u>see figure below</u>):
, or
Likewise, the height <em>h </em>is the <em>unknown value</em> or the height of the kite from Emily (or one leg of the right triangle).
.
, which is approximately:
m or m.
That is, the kite is approximately 35.71 m high above Emily.