The angle of depression the cable forms is the arctan of the ratio of the
horizontal distance to the height of the tower which is approximately 35°.
Response:
B. 35°
<h3>Which method can be used to find the angle of depression?</h3>
Given:
Height of the tower = 500-feet
Horizontal distance from the (other) point of attachment of the cable to
the base of the tower = 350-feet.
Required:
The angle of depression formed by the cable.
Solution:
The angle of depression is the angle, θ, the cable forms with the tower
from the top of the tower.
By trigonometric ratios, therefore;
Which gives;
The best correct option is; <u>B. 35°</u>
Learn more about trigonometric ratios here:
brainly.com/question/13276558
<u><em>Answer:</em></u>
<u><em>Explanation:</em></u>
we know that in parallelogram opposite sides are equal
Hence on equating we get
A day has 24 hours, so if you add 23 hours, you are going 1 hour less than a full day. When you are ignoring what day it is, it appears to just be moving back one hour. Therefore, the answer is 7:00 pm. Comment if you have any questions!
A parabolic function's key characteristic is either having 2 x-intercepts or 2 y-intercepts. That is the reason why the standard form of parabolic functions are:
(x-h)^2 = +/- 4a(y-k) or (y-k)^2 = +/- 4a(x-h), where
(h,k) is the coordinates of the vertex
4a is the lactus rectum
a is the distance from the focus to the vertex
This is also called vertex form because the vertex (h,k) is grouped according to their variable.
Since we don't know any of those parameters, we'll just have to graph the data points given as shown in the picture. From this data alone, we can see that the parabola has two x-intercepts, x=-4 and x=-2. Since it has 2 roots, the parabola is a quadratic equation. Its equation should be
y = (x+4)(x+2)
Expanding the right side
y = x²+4x+2x+8
y = x²+6x+8
Rearrange the equation such that all x terms are on one side of the equation
x²+6x+___=y-8+___
The blank is designated for the missing terms to complete the square. Through completing the squares method, you can express the left side of the equation into (x-h)² form. This is done by taking the middle term, dividing it by two, and squaring it. So, (6/2)²=9. Therefore, you put 9 to the 2 blanks. The equation is unchanged because you add 9 to both sides of the equation.
The final equation is
x²+6x+9=y-8+9
(x+3)²=y+1
4+1, 3+2, 2+3, 1+4. 4 total combinations, unless 4+1 and 1+4 are the same. In that case, there are only 2, 1+4, and 2+3
