On the first day of a family road trip, Tamara's family travels 540 miles,
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The length of b and angle B and C are 2. 9cm, 44. 9 degrees and 79. 11 degrees respectively.
<h3>How to determine the parameters</h3>To determine the angles and length of sides, we use the sine rule
The sine rule is thus:
Given;
- a = 2. 5cm
- c = 3. 6cm
- ∠A = 43°
Let's find angle C
cross multiply
0. 682 × 3. 6 = sin C × 2. 5
sin C = 2. 4552/ 2. 5
C =
C = 79. 11°
To find length of b
b =
substitute the values
b =
b =
b =
Take square root
b = 2. 59 cm
To find angle B, we have
cross multiply
0. 682 × 2. 59= sin B × 2. 5
sin B = 0. 7066
B =
B = 44. 9 °
Thus , the length of b and angle B and C are 2. 9cm, 44. 9 degrees and 79. 11 degrees respectively.
Learn more about sine rule here:
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Answer:
x=18 is the correct answer
