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
so
substitute the given values
step 2
Find the measure of a
Applying the law of sines
substitute the given values
solve for a
Answer:
Step-by-step explanation:
So we have the equation:
First, let's determine the domain restrictions. Recall that the radicand cannot be negative. In other words, it must be greater than or positive than 0. Thus:
Subtract 6 from both sides:
What this means is that our solutions must be greater than or equal to -6. If not, we ignore them.
So, let's subtract 5 from both sides from the original equation:
Square both sides:
Subtract 6 from both sides:
138 is greater than -6, so 138 is a solution and is the only solution.
And we're done!