The correct answer is -10
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Answer:
24°
Step-by-step explanation:
The angle between the vertical line AB and the horizontal dashed line at A is 90°. That is, ...
66° + ? = 90°
? = 90° -66° = 24°
The angle of depression is 24°.
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<em>Additional comment</em>
The sum of angles in the triangle is 180°, so the angle at C (the angle of elevation) is the same as the angle we just figured:
∠C + 90° +66° = 180°
∠C +66° = 90° . . . . . . . subtracting 90°; shows C is complementary to 66°
∠C = 90° -66° = 24°
As a rule, the angle of elevation and the angle of depression are the same.
To find the equation of this line in slope-intercept form (y = mx + b, where m is its slope and b is its y-intercept), we naturally need the slope and the y-intercept. We can see that the line intersects the y-axis at the point (0, 4) so our y-intercept is 4, and the line rises 4 along the y-axis for every 2 it runs along the x-axis, so its slope is 4/2 = 2. With this in mind, we can write the line's equation as
y = 2x + 4
The length of the major arc LNM is 
<h3><u>Length of an arc</u></h3>
From the question,
We are to determine the value of the length of the major arc LNM
The length of the major arc LNM can be calculated using the formula
Where r is the radius
First, we will determine the value of the reflex ∠LKM
Reflex ∠LKM + ∠LKM = 360° (<em>Sum of angles at a point</em>)
From the given information,
∠LKM = 70°
Then,
Reflex ∠LKM + 70° = 360°
Reflex ∠LKM = 360° - 70°
Reflex ∠LKM = 290°
Also, from the question
r = 3 cm
Now, putting the parameters into the formula, we get
Then,
Hence, the length of the major arc LNM is
Learn more on calculating length of an arc here: brainly.com/question/2005046
The value of x is 6
6 - 2 = 4
4 ÷ 2 = 2
