A bearing of 34° corresponds to corresponding angle of θ=90-34=56°
The (x,y) values for the position of the ship after completing its first heading are:
x=(10.4cos 56)
y=(10.4sin56)
The trigonometric angle for θ=90-90=0
The (x,y) values for the postion of the ship after completing the second bearing is:
x=(10.4 cos56)+(4.6cos0)≈10.4 mi
y=(10.4sin56)+(4.6sin0)≈8.6mi
the distance from the port will therefore be:
d=√(10.4²+8.6²)≈13.5 miles
It trigonometric angles is:
θ=arctan(y/x)
θ=arctan(8.6/10.4)
θ≈39.6°
Thus the bearing angle is:
90-39.6=50.4°
Significant figures refers to digits within a number which must be included in other depict correct quantity of the figure.
- 4.29478416 = 4.2947842 ( 8 significant figures)
- 4.29478416 = 4.29478 (6 significant figures)
- 4.29478416 = 4.295 ( 4 significant figures)
- 4.29478416 = 4.3 (2 significant figures)
To round a number to a certain number of significant figures,
- Only leading 0 which comes before the decimal Point are regarded as insignificant.
- Once the number of significant figures have been identified, the next number after this is either rounded up to 1 and added to the last value(if number is ≥5) or rounded to 0 (if number is less than 5)
Learn. More : brainly.com/question/13386983?referrer=searchResults
Use the Pythagorean theorem (a^2+b^2+x^2)
Since A and B are parallel lines, the two marked angles are congruent.
Then, 2x + 12 = x + 25
We can solve for x:
x = 13
