SOLUTION:
Step 1:
In this question, we are given the following:
Step 2:
In the question, we are looking at the absolute value function which says that:
Based on this, we have that:
A support wire extends from the top of a 225 feet radio tower to the ground and makes an angle of 64° with the ground. How long
does the wire need to be to reach from the top of the tower to the ground?
1 answer:
Answer:
250.34 feet
Step-by-step explanation:
Find attached to this answer and appropriate diagram.
From this question, we can see that this is a trigonometric function
The height of the radio tower = 225 feet = Opposite side
θ = Angle 64°
In the question we are told to find the length of the wire needed to reach from the top of the tower to the ground.
From the attached diagram, we can see that that is equivalent to finding the hypotenuse.
Hence, we are using the Trigonometric function of Sine.
sin θ = Opposite side/ Hypotenuse side
sin 64 = 225 feet/ Hypotenuse
Cross multiply
sin 64 × Hypotenuse = 225 feet
Divide both sides by sin 64
Hypotenuse = 225 feet / sin 64
Hypotenuse = 250.33543661 feet
Approximately = 250.34 feet
Therefore, the length of the wire needed to reach from the top of the tower to the ground is 513.3 feet.
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1. This graph will have a positive slope, because the line is going up.
2. the y-intercept is -2 because that's where it is on the y-axis.
Now, you have been given two points, (2, 1) and (0, -2). You can put these two points into the slope formula, which is: m =
So, now you have your slope and your y-intercept. Now, just put them into y = mx + b form!
y = 3/2x - 2 (it is ubtracting two instead of adding two because it is a negative two.)
Hope this helps!!
~Kiwi