Answer:
The point C is 12.68 km away from the point A on a bearing of S23.23°W.
Step-by-step explanation:
Given that AB is 50 km and BC is 40 km as shown in the figure.
From the figure, the length of x-component of AC = |AB sin 80° - BC cos 20°|
=|50 sin 80° - 40 cos 20°|=11.65 km
The length of y-component of AC = |AB cos 80° - BC sin 20°|
=|50 cos 80° - 40 sin 20°|= 5 km
tan= 5/11.65
=23.23°
AC= km
Hence, the point C is 12.68 km away from the point A on a bearing of S23.23°W.
Answer:
see explanation
Step-by-step explanation:
(a)
To change a mixed number to an improper fraction
Multiply the whole number by the denominator of the fraction and add the numerator. This value is the numerator of the improper fraction while the denominator remains unchanged, that is
(2 × 13) + 12 = 26 + 12 = 38 ← numerator
2 =
(b)
To change an improper fraction to a mixed number
divide the numerator by the denominator, noting the remainder, which forms the numerator of the fraction in the mixed number.
= 2 remainder 9, hence
= 2
Answer:
X = 45°
Y = 72°
Step-by-step explanation:
There is a supplementary angle (an pair of angles that create a straight line is equal to 180°) and there is the rule that all three angles in a triangle equal 180° as well.
