Ask Question
24 November, 09:44

In △ABC, m∠A=16°, m∠B=49°, and a=4. Find c to the nearest tenth.

+1
Answers (1)
  1. 24 November, 11:48
    0
    c=13.2 units

    Step-by-step explanation:

    step 1

    Find the measure of angle C

    Remember that the sum of the internal angles of a triangle must be equal to 180 degrees

    so

    A+B+C=180°

    substitute the given values

    16°+49°+C=180°

    65°+C=180°

    C=180°-65°=115°

    step 2

    Find the measure of c

    Applying the law of sines

    c/sin (C) = a/sin (A)

    substitute the given values and solve for c

    c/sin (115°) = 4/sin (16°)

    c=4 (sin (115°)) / sin (16°)

    c=13.2 units
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “In △ABC, m∠A=16°, m∠B=49°, and a=4. Find c to the nearest tenth. ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers