Answer:
Length of the shadow of the pole is 6.93 metres
Step-by-step explanation:
Given:
Height of the pole = 4 m
The angle sun makes with the horizontal = 30 degrees
To Find:
Length of the shadow of the pole = ?
Solution:
The tangent ratio is the value received when the length of the side opposite of angle theta is divided by the length of the side adjacent to angle theta
Let x be the length of the shadow
According to the tangent ratio
On substituting the values,
x = 6.93 m
From the equation we see that the center of the circle is at (-2,3) and the radius is 9.
So using the distance formula we can see if the distance from the center to the point (8,4) is 9 units from the center of the circle...
d^2=(8--2)^2+(4-3)^2 and d^2=r^2=81 so
81=10^2+1^2
81=101 which is not true...
So the point (8,4) is √101≈10.05 units away from the center, which is greater than the radius of the circle.
Thus the point lies outside or on the exterior of the circle...
Answer:
Option A) (2.5,-1.3) is correct
The midpoint of the given line segment is M=(2.5,-1.3)
Step-by-step explanation:
Given that the line segment with end points (3.5, 2.2) and (1.5, -4.8)
To find the mid point of these endpoints midpoint formula is 
Let (
) be the point (3.5, 2.2) and (
) be the point (1.5, -4.8)
substituting the points in the formula
Therefore M=(2.5,-1.3)
The midpoint of the given line segment is M=(2.5,-1.3)
From the given figure, the transformation the will map the strip unto itself is a horizontal translation and a glide refrection.
