Asked by Angie
Suppose Triangle ABC has right angle C. Find the measures of the other sides to the nearest whole number if...?
the measure of angle A is 32 degrees, and the measure of AB is 42.
For one side, I got 23, and for the other side, I got 35. Am I right?
the measure of angle A is 32 degrees, and the measure of AB is 42.
For one side, I got 23, and for the other side, I got 35. Am I right?
Answers
Answered by
Reiny
correct
Answered by
Angie
thanks
Answered by
Quidditch
Check rounding--I got slightly different values that rounded to different numbers.
Given:
C = 90 degrees
A = 32 degrees
AB = 42 units
Therefore, B = 180 - 90- 32 = 58 degrees
Sine rule:
BC/sin(A) = AC/sin(B) = AB/sin(C)
BC/sin(32) = AC/sin(58) = 42/sin(90)
BC/(0.5299) = AC/(0.8480) = 42/(1.0)
BC = (0.5299)(42) = 22.26 round to 22
AC = (0.8480)(42) = 35.62 round to 36
Given:
C = 90 degrees
A = 32 degrees
AB = 42 units
Therefore, B = 180 - 90- 32 = 58 degrees
Sine rule:
BC/sin(A) = AC/sin(B) = AB/sin(C)
BC/sin(32) = AC/sin(58) = 42/sin(90)
BC/(0.5299) = AC/(0.8480) = 42/(1.0)
BC = (0.5299)(42) = 22.26 round to 22
AC = (0.8480)(42) = 35.62 round to 36
Answered by
Angie
I used an online graphing calculator..so maybe it's different like that?
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.