To find the distance AB across a river, a distance BC of 415 m is laid off on one side of the river. It is found that B = 112.2° and C = 18.3°. Find AB.

91.87

Step-by-step explanation:

We are given that BC=361m, Angle B= ° degrees,     1 degrees = 60 minutes, Angle C= 12 °  15' = 12 + = 12.25 degrees, We have to find the value of AB, the Sum of angles of triangle=180 degrees, ⦟A + ⦟B + ⦟C = 180 degrees, ⦟A=180- ( ⦟C+ ⦟B)= 180 - (111.33 + 12.25)=56.42 degrees, By using law of sine, = , AB= =, AB= 91.87

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

answer: 5 17/33 % (to the tenth)

step-by-step explanation:

he guessed: 34.5 pounds

actual weight is 32.7

there for he is off:

34.5 -32.7 = 1.8

32.7 is the 100%

1.8 represents %? of 32.7

therefore:

32.7   - 100%

1.8     -     x%

x= 1.8*100%/32.7% = 18*100%/327%

x=1800%/327%   = (5 165/327)%

to the tenth:

5 17/33 %