Which value is the 11th term in the sequence: -62, -54, -46, -38, -30, .......
1 answer:
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If the series is
then it is geometric, which we know converges as long as the base is smaller than 1 in absolute value, i.e.
. "Expanding" the absolute value, this is equivalent to
When
is in this interval, the geometric sum converges to
then it is geometric, which we know converges as long as the base is smaller than 1 in absolute value, i.e.
When
Answer:
53 meters
Step-by-step explanation:
The angle between a viewer's horizontal line of sight and the line of sight down towards a particle is called the angle of depression. For example if a viewer is sitting at the top of a tower and looking down on a car, the angle between the viewer's horizontal line of sight and the line of sight to which he looks at the car is the angle of depression.
A sketch of the positions of the boats and the tower has been attached to this response.
As shown,
the distance between the two boats A and B is marked x meters.
the horizontal distance between boat A and the foot of the tower is y meters.
the horizontal distance between boat A and the foot of the tower is x + y meters.
the height of the tower is 60 meters.
the angle of depression of boat A is 28°
the angle of depression of boat B is 45°
To find the value of y, from triangle DBC we use the trigonometric ratio for tangent. i.e
tan 45° =
1 =
y = 60 meters
To find the value of x, from triangle ABC we use the trigonometric ratio for tangent. i.e
tan 28° =
<em>Where y = 60 meters</em>
tan 28° =
0.5317 =
x + 60 =
x + 60 = 112.85
x = 112.85 - 60
x = 52.85 meters
Therefore, boat A is about 53 meters from boat B
