The distance from Ship B to the signal fire at point C is 
Explanation:
It is given that two ships A and B are at a distance 140 ft from each other.
The angle formed by ship A is 82º and the angle formed by ship B is 78º.
To determine the distance from ship B to the signal fire at point C, we need to know the another angle.
Hence, we have,
Now, we shall solve the problem using the law of sines,
Substituting the values, we have,
Simplifying, we get,
Thus, the distance from Ship B to the signal fire at point C is
If x is length of the diagonal then
x^2 = 3^2 + 4^2 = 25
x = sqrt25 = 5
Diagonal is 5 units long
Answer:
The correct option is (D).
Step-by-step explanation:
A quadrilateral is a parallelogram if the following conditions are met:
- If two pairs of opposites are equal in length.
- If two opposite sides are parallel to each other and are equal.
- If the diagonals bisect each other in equal halves.
So, for a parallelogram the opposite sides are equivalent in length.
From the provided length of 4 sides of a quadrilateral, consider the sides provided by option D.
4, 9, 9, 4
Two sides are of length 4 units and two of 9 units.
According to condition 1, the sides {4, 9, 9, 4} can form a parallelogram.
Thus, the correct option is (D).
