3 years ago

0.35 in expanded form

Mathematics

1 answer:

Diano4ka-milaya [45]3 years ago

7 0

Answer:0.3+0.05

Step-by-step explanation:

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Towers A and B are located 10 miles apart. A ranger spots a fire at a 42-degree angle from tower A. Another fire ranger spots th

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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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