3 years ago

100 POINT QUESTION

Mathematics

1 answer:

Tanzania [10]3 years ago

7 0

48000% is the answer for this

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two towers labeled Tower A and Tower B some distance apart and a fire image at a certain distance from both towers Towers A and

astra-53 [7]

Answer:

7.0 mi

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of angle C

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

$A+B+C=180^o$

substitute the given values

$42^o+64^o+C=180^o\\C=180^o-106^o=74^o$

step 2

Find the measure of a

Applying the law of sines

$\frac{c}{sin(C)}=\frac{a}{sin(A)}$

substitute the given values

$\frac{10}{sin(74^o)}=\frac{a}{sin(42^o)}$

solve for a

$a=\frac{10}{sin(74^o)}sin(42^o)\\a=7.0\ mi$

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