Asurveyor wants to find the distance from points a and b to an inaccessible point c. these three points form a triangle. because point c can be sighted from both a and b, he knows that the measure of < a= 53 degrees and the measure of < b = 61 degrees. in addition, the distance from a to b is 142 meters. find ac and bc. draw a diagram.

Part a)

Part b)

The diagram in the attached figure

Step-by-step explanation:

step 1

Find the measure of angle C

we know 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 distance AC

Applying the law of sines

see the attached figure to better understand the problem

substitute the given values

---> rounded to the nearest hundredth

step 3

Find the distance BC

Applying the law of sines

substitute the given values

---> rounded to the nearest hundredth

idk

step-by-step explanation:

the answer is a if my teacher taught me correct