Question

Corey flying a kite with 105 meters of string.His string makes an angle of 42 degrees with the level ground. How high is the kite to the nearest meter?

Answer 1

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;

 $sin \ \theta=\frac{opp}{hyp}$

From the given data, the values are  $\theta=42^{\circ}$, opp = h (height of the kite) and hyp = 105 meters.

Substituting the values, we get;

$sin \ 42=\frac{h}{105}$

Multiplying both sides of the equation by 105, we get;

$sin \ 42 \times 105=h$

$0.669 \times 105=h$

        $70.245=h$

Rounding off to the nearest meter, we get;

$h=70$

Thus, the height of the kite is 70 meters.