In triangle ABC, what is the measure of b if a = 51, c = 38, and B = 11°?
2 answers:
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Answer:
The boat turned <u>39°</u> degrees when it made its first turn.
Step-by-step explanation:
The question is as following:
A boat traveled north for 28 miles, then tuned x° south west and traveled for 25 miles before stopping. When it stopped, the boat was 18 miles from its starting point.
By how many degrees did the direction of the boat change when it made its first turn? Round to the nearest degree.
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See the attached figure which represent explanation of the problem.
The boat start from point A to point B then stopped at point C
AB = 28 miles, BC = 25 miles and AC = 18 miles.
It is required to find the angle x
By applying the cosine Rule:
AC² = AB² + BC² - 2 * AB * BC * cos x
18² = 28² + 25² - 2 * 28 * 25 * cos x
2 * 28 * 25 * cos x = 28² + 25² - 18²
1400 cos x = 1085
Cos x = 1085/1400 = 0.775
x = Cos⁻¹ 0.775 = 39.2° = 39° to the nearest degree.
So, the boat turned <u>39°</u> degrees when it made its first turn.
Answer:
36.575
Step-by-step explanation:
you need to find line ab you can do for the triangle and get the line you also need to get the squar root of it as it is still squared then devide by 2 to get the rades then times that by pi and there you go you have the area also sorry for spelling I love math not English