The given question is on trigonometry which requires the application of required <em>function</em> so as to determine the <em>value known</em>. So that the <u>length</u> of the guy wire is 67.0 feet.
<em>Trigonometry </em>is an aspect of mathematics that requires the application of some <u>functions</u> to determine the <em>value</em> of an unknown quantity.
Let the <u>length</u> of the guy wire be represented by l, and the angle that the guy wire makes with the <u>stake</u> be θ. So that applying the appropriate trigonometric function to determine the <em>value</em> of θ, we have:
Tan θ = 
= 
Tan θ = 2.75
θ = 
2.75
= 70.0169
θ = 
Considering triangle formed by the <u>tower</u> and the <u>stake</u> to determine the value of l, we have;
Cos θ = 
Cos = 
l = 
= 
l = 67.2515
l = 67 feet
The <u>length</u> of the guy wire is 67 feet.
For more on trigonometric, check: brainly.com/question/6459892
Answer:
10.2% chance
Step-by-step explanation:
There are 12 peaches and 8 bananas for a total of 20 pieces of fruit.
So we can write it:
= 
= .102 or 10.2% chance
For ease multiply all numerators (top numbers) together, then multiply the denominators (bottom numbers) together, and then divide.
12 * 11 * 10 * 9 = 11880
20 * 19 * 18 * 17 = 116,280
We start with 12 peaches and 20 total fruit, as we select a peach the number of peaches and total fruit goes down by one. We do this 4 times because you draw 4 fruits. If you select 1 fruit your chances of it being a peach are 12/20, each time you select a fruit the chances of it being a peach go down because you have 1 less total fruit, and 1 less peach. This is why you multiply each probability together.
The figure shows that N is the vertex of a right triantle.
The opposite leg to N measures 5.74, the adjacent leg to N measures 4 and the hypotenuse measures 7.
Then you can states these ratios:
sin(N) = opposite leg / hypotenuse = 5.74 / 7 => N = arcsin(5.74 / 7) = arcsin(0.82) = 55.08 °.
cos(N) = adjacent leg / hypotenuse = 4 / 7 => N = arccos(4/7) = 55.15°
tan(N) = opposite leg / adjacent leg = 5.74 / 4 => N = arctan (5.74/4) = 55.13°.
Of course, you do not need to do the three calculations. I did it just to show you.
Answer: the value of N to the nearest whole degree is 55°
For number 1:
Answer: 800ft
If 1 inch equals 50 feet, you would then multiply 16 by 50 in order to get 800.
16x50=800ft
For number 2:
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