Response:
Step-by-step breakdown:
When you sketch that diagram (great description, by the way!), what you essentially have is a right triangle with a base of 32 and a hypotenuse of 45. The right angle resides at one of the base's ends, and x represents the vertex angle. We must find this vertex angle first to determine the angle of depression from the second bird to the watcher. The side measuring 32 is opposite to angle x, with 45 being the hypotenuse; hence, the trigonometric relation we need is sine:
and
sin(x) =.711111111
Go to your calculator, press the 2nd key followed by the sin key, and your display will show:
then, enter in your decimal.711111111 and hit equals. You should arrive at an angle of 45.325. That angle is x. However, that's not the angle of depression. The angle of depression is the complementary angle to x.
Angle of depression = 90 - angle x and
Angle of depression = 90 - 45.325, resulting in
Angle of depression = 44.67 or 44.7 degrees.
The temperature increased by 29°C, which indicates a positive change of 29. Then, it decreased by 29°C, reflecting a negative change. The average temperature experienced equal increases and decreases, leading to identical absolute values and resulting in a difference of 0.
Approximate length of wire ≈ 193 ft (to the nearest foot).
Indeed, Maddie1261, it can be represented as both an improper fraction and a mixed number. Steps: Set the decimal as "x"; this simplifies the process of temporarily ignoring the 2. Multiply the entire equation by the relevant place value; I used 100 since the first 6 is in the hundredths. Then simplify and perform the subtraction. Lastly, solve the equation to find that the improper fraction form of 2.161616 is

, and as a mixed number, it is

.