Answer:
Distance between Archimedes and the rock = 7.51 m ≅
Step-by-step explanation:
The sunlight makes an angle of depression of 43 degrees
Hence angle between the rock and the sunlight rays is = 90-43=47 degrees
Distance between Archimedes and the rock = Tan 47 = X/7
X = 7 tan 47 = 7.506580970172 = 7.51m ≅
Therefore = -3.
i) let us say the slope of the line passing through (-2,7) and (4,9) is .
ii) to find the slope of the line passing through two points (, ) and (,) we use the formula m = . Therefore we can say that = = .
iii) let us say the slope of the perpendicular line to the line passing through (-2,7) and (4,9) is
iv) from the formula for the slopes of a line and the line perpendicular to it which is given by × = -1, therefore = -1 ÷ = -3. Therefore = -3
The formula to find the area of a circle is
We know that
Therefore the area is
x= -1