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?

Question

asked Dec 3, 2021 106k views

1 Answer

David Pierre · Answer 1 · 2021-12-07T23:28:42+0000

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.