The angle of depression from the aeroplane to the ground will be 30 degrees.
<h3>What is trigonometry?</h3>
Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.
Given that:-
- An aeroplane is flying at the height of 10 km above the ground the distance along the ground from the aeroplane to the airport is 10√3 km
The angle of depression will be calculated as the angle between the horizontal and the height of the plane as shown in the figure below.
As we know that the perpendicular theta is height and the base ratio is angle tan theta.
tanФ = Height / Base
tanФ = 10 / 10 √3
tanФ = 1 / √3
Ф = tan⁻¹( 1 / √3 ) = 30°
Therefore the angle of depression from the aeroplane to the ground will be 30 degrees.
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12.40 am is the next time they both ring at the same time
Answer:
-1
Step-by-step explanation:
We can use the formula to find slope
(y2-y1) / (x2-x1)
y1 is the first Y coordinate in the first pair
y2 is the second one in the first pair
X1 is the first X coordinate in the frst pair
x2 is the second one In the second pair.
so if we put it together it’d look liek this
(5- (-) 2) / (-4 - 3)
5+2 / -4 + -3
7/-7
or -1
<u>Given</u>:
A ball is kicked 4 feet above the ground with an initial vertical velocity of 55 feet per second.
The function
represents the height h(in feet) of the ball after t seconds.
We need to determine the time of the ball at which it is 30 feet above the ground.
<u>Time:</u>
To determine the time that it takes for the ball to reach a height of 30 feet above the ground, let us substitute h(t) = 30, we get;


Adding both sides of the equation by 16t², we get;

Subtracting both sides of the equation by 55t, we have;

Let us solve the quadratic equation using the quadratic formula, we get;







The value of t is t = 0.6 because this denotes the time taken by the ball to reach a height of 30 feet from the ground.
Therefore, the time taken by the ball to reach a height of 30 feet above the ground is 0.6 seconds.
Answer:
Step-by-step explanation:
6. H - (-2,2)
14. F - Quadrant IV
15. B - All points have y <u>></u> 1