Respuesta :
Given:
Given that Corey is flying a kite with 105 meters of string.
The string makes an angle of 42° with the ground level.
We need to determine the height of the kite.
Height of the kite:
The height of the kite can be determined using the trigonometric ratio.
Thus, we have;
[tex]sin \ \theta=\frac{opp}{hyp}[/tex]
From the given data, the values are [tex]\theta=42^{\circ}[/tex], opp = h (height of the kite) and hyp = 105 meters.
Substituting the values, we get;
[tex]sin \ 42=\frac{h}{105}[/tex]
Multiplying both sides of the equation by 105, we get;
[tex]sin \ 42 \times 105=h[/tex]
[tex]0.669 \times 105=h[/tex]
[tex]70.245=h[/tex]
Rounding off to the nearest meter, we get;
[tex]h=70[/tex]
Thus, the height of the kite is 70 meters.
