Keisha is walking around a track that is 400 yards long. She has walked around the track 5 times so far. How many more yards doe
1 answer:
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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
Answer:
<u>3.63 years</u>
Step-by-step explanation:
The formula would be of compound growth, which is:
Where
F is future amount (with interest)
P is initial deposit
r is rate of interest in a year
n is number of compounding in 1 year
t is the time in years
Given in this problem:
To accumulate 2000 interest means the future amount will be:
10000+2000 = 12,000
Present amount is 10,000
r is the annual interest, which is 5% or 0.05
compounded monthly means, 12 times a year, so n = 12
t is time in years, which we need to find
Substituting, we have:
The time it will take is around <u>3.63 years</u>