Brittany's kite is flying above a field at the end of 65 m of string. If the angle of elevation to the kite

Mathematics

1 answer:

Gnoma [55]4 years ago

8 0

Answer:

61.1 m is the correct answer.

Step-by-step explanation:

Given that

Brittany's kite has a string length = 65 m

Angle of elevation of kite = $70^\circ$

A right angled triangle can be constructed for the given situation.

Please refer to the attached figure.

$\triangle BFK$ in which B is the position of Brittany.

K is the position of kite and

F is the point of field above which the kite is flying.

Given that the side BK = 65m

$\angle B = 70^\circ$

To find, side FK = ?

We can use sine trigonometric identity to find the value of FK.

We know that :

$sin\theta =\dfrac{Perpendicular}{Hypotenuse}$

$\Rightarrow sinB = \dfrac{FK}{BK}\\\Rightarrow sin70 = \dfrac{FK}{65}\\\Rightarrow FK = 65 \times 0.94\\\Rightarrow FK = 61.1\ m$

Hence, the answer is <em>61.1 m.</em>

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