Answer:
196 miles
Step-by-step explanation:
A bus drives for hours at an average speed pf 56 mph. To Find: How far does the bus drive? It means distance travel by bus is 196 miles.
Answer:
37.8579
This value is approximate and rounded to four decimal places
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Explanation:
The tangent function is being applied to some unknown angle x. To isolate x, we undo whatever tangent is doing. So we apply the inverse function. Specifically the inverse tangent function. This is also known as "arctangent" and your calculator most likely shows it as a button with a "-1" exponent above the "tan"
So apply the arctangent to both sides to get
tan(x) = 0.7773
arctan(tan(x)) = arctan(0.7773)
x = 37.8579
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


Its A
because sin A is CB/AB
and cos A is AC/AB