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=(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=(h)/(105)`

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

`sin \ 42 * 105=h`

`0.669 * 105=h`

`70.245=h`

Rounding off to the nearest meter, we get;

`h=70`

Thus, the height of the kite is 70 meters.