2 years ago

Calculate the size of angle x. Give your answer to 1 decimal place

Mathematics

1 answer:

sasho [114]2 years ago

7 0

Cosine rule
Cosx=(11 ²+8²-(15²))/2(11)(8)
Cosx=(121+64-225)/176
Cosx=-40/176
Cosx=-5/22
X=cos-1 -5/22
X=103.1

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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 t

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

The diagrammatic sketch of the details given in the question was attached in the picture below.

From the picture below, the distance between the two kites is represented by (c) and can be calculated by using the cosine angle rule which is illustrated as:

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

where;

a = 110

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Cos C = 26°

Then;

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