To prepare for a triathlon, amanda starts from position a and rides her bike along a straight road for 12 miles to reach position b. at b, she turns left and rides along another straight road for 15 miles to reach position c. at c, she turns left again and rides 20 miles along a straight road to return to a. in , what are m∠a, m∠b, and m∠c, respectively?

48.35°, 94.94°, 36.71°

Step-by-step explanation:

Step-by-step explanation:

Let's draw the given information first for better understanding . Check the image attached.

We can use cosine rule to find the angles .

for angle A ,

m∠A = 48.35 degrees

Similarly for angle B

m∠B = 94.94 degrees

Now use A+B+C=180 degrees

48.35+94.94+C=180

C=180-48.35-94.94

m∠C = 36.71 degrees

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.