Two guy wires from the top of a 200-foot radio antenna are anchored to the ground by two large concrete posts. The antenna is perpendicular to the ground and between the two posts. If the angles of depression from the top of the antenna to each of the posts is 46o and 48o respectively, then the distance between the two posts is:_______
Answers
Answer: 373.22 feet
Step-by-step explanation:
The attached photo contains the diagram illustrating the scenario. 2 right angle triangles ACD and BCD are formed.
The distance between the two posts is AD + BD
To determine AD, we would apply the tangent trigonometric ratio which is expressed as
Tan θ = opposite side/adjacent side
Tan 46 = 200/AD
AD = 200/Tan 46 = 200/1.0355
AD = 193.14
To determine BD, we would also apply the tangent trigonometric ratio. Therefore
Tan 48 = 200/BD
BD = 200/Tan 48 = 200/1.1106
BD = 180.08
Therefore, the distance between the two posts is
193.14 + 180.08 = 373.22 feet
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Given
2 milks + 5 waters + 8 chips = $25
water cost = 2×chips cost
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Solution
Let m, w, and c represent the costs of milk, water, and chips, respectively. We can write the given relations more compactly as
... 2m + 5w + 8c = 25
... w = 2c
... m = w + 1.5
We can substitute for w everywhere using the second equation. This gives us
... m = 2c +1.5
... 2(2c+1.5) + 5(2c) + 8(c) = 25
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A gallon of milk costs $3.50, a bottle of water costs $2.00, a bag of chips costs $1.00.
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The air was very cold.
In the distance, firelight glowed.
He bumped his foot on the side of the boat.
The men were very hungry.
Answers
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B
Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
The first four terms of the sequence are: {-10,-23,-62,-179}
Step-by-step explanation:
Given recursive formula is:
First term = a1 = -10
The first term is already known. In order to find the next terms, we will put n=2,3,4 in the recursive formula.
Putting n=2
Putting n=3
Putting n=4
Hence,
The first four terms of the sequence are: {-10,-23,-62,-179}
(-13) X (-13).
35 times
Answers
Answer:
Step-by-step explanation:
Given
Required
Express as an exponential notation
Apply the following law of indices
This gives:
The second complete is incomplete; However, I'll assume it is: 35 times 35
Using the same law applied in (1) above:
Answers
Answer:
the answer would be 1/8
7/8-3/4
7/8-6/8
1/8
a)
1 2 3 4 5 6
b)
0 1 2 3 4 5 6
C)26
O i 2 3 4
D)5
0 1 2
3 4 5
6
A
B
оооо
С
D