Agirl is flying two kites at the same time. she has 380 ft of line out to one kite and420 ft to the other. she approximates the angle between the two lines to be 30◦.approximate the distance between the two kites.

The distance between the two kites is 521.18 ft

Step-by-step explanation:

For calculating the distance between the kites, you need use cosine’s theorem:

       Where c is the distance between the kites

                   a is the distance between the girl and the one kite

                   b is the distance between the girl and the second kite

                   Θ is the angle between the two lines

Then

c = 521.18

The distance between the two kites is 521.18 ft

1 is b and 2 is d

step-by-step explanation:

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°