Question

nicole is flying two kites. she has 104 feet of string out to one kite and 110 feet out to the other kite. the angle formed by the two strings is 26 as shown in the figure below. find the distance between the kites.

Answer 1

48.49 feet

Explanation:

The diagrammatic sketch of the information provided in the question was attached in the image below.

From the image below, the distance between the two kites is denoted by (c) and can be determined by using the cosine angle rule which is expressed as:

`c^2 = a^2 + b^2 -2ab cos \ C`

where;

a = 110

b = 104

Cos C = 26°

Then;

`c^2 = 110^2 + 104^2 -2(110)(104) cos \ 26 \\ \\ c^2 = 12100 + 10816- 22880 ( 0.8988) \\ \\ c^2 = 22916- 20564.544 \\ \\ c^2 = 2351.456 \\ \\ c= √(2351.456) \\ \\ \mathbf{ c = 48.49 \ feet}`