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3 years ago

Based on the diagram below, which expression can be used to determine the distance between Seattle, WA, and San Francisco, CA?

Mathematics

2 answers:

LuckyWell [14K]3 years ago

8 0

We have been given diagram of a triangle. We are asked to write an expression that represents the distance between Seattle and San Francisco.

We will use law of cosines to solve our given problem.

$c^2=a^2+b^2-2ab\text{cos}(C)$ , where a, b and c are sides corresponding to angle A, B and C.

Let the distance between Seattle and San Francisco be 'c' and $C=21.4$ .

Using law of sines, we can set an equation as:

$c^2=1737^2+1858^2-2(1737)(1858)\text{cos}(21.4)$

Upon taking square root in both sides, we will get:

$c=\sqrt{1737^2+1858^2-2(1737)(1858)\text{cos}(21.4)}$

Therefore, we can use the expression $\sqrt{1737^2+1858^2-2(1737)(1858)\text{cos}(21.4)}$ can be used to find distance between Seattle, WA, and San Francisco, CA.

garik1379 [7]3 years ago

8 0

Answer:

Step-by-step explanation:

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