Answer: The speed is 22.2 mi/hr and woman is 8° north relative to the surface of the water.
Step-by-step explanation:
Since we have given that
Speed at which woman walks due west = 3 mi/hr
Speed at which ship moving due north = 22 mi/hr
Now it forms "Pythagorus theorem":
So, it becomes,
![H^2=B^2+P^2\\\\H^2=3^2+22^2\\\\H^2=9+484\\\\H^2=493\\\\H=\sqrt{493}\\H=22.20\ mi/hr](https://tex.z-dn.net/?f=H%5E2%3DB%5E2%2BP%5E2%5C%5C%5C%5CH%5E2%3D3%5E2%2B22%5E2%5C%5C%5C%5CH%5E2%3D9%2B484%5C%5C%5C%5CH%5E2%3D493%5C%5C%5C%5CH%3D%5Csqrt%7B493%7D%5C%5CH%3D22.20%5C%20mi%2Fhr)
And the direction of the woman relative to the surface of the water is given by
![\theta=\sin^{-1}x(\dfrac{3}{22.2})=7.76\approx 8^\circ](https://tex.z-dn.net/?f=%5Ctheta%3D%5Csin%5E%7B-1%7Dx%28%5Cdfrac%7B3%7D%7B22.2%7D%29%3D7.76%5Capprox%208%5E%5Ccirc)
Hence, the speed is 22.2 mi/hr and woman is 8° north relative to the surface of the water.
Answer:
Perpendicular
Step-by-step explanation:
It is a symbol used for showing any two lines perpendicular to each other.
Answer:
r = 16 units
Step-by-step explanation:
From the figure attached,
AB is the tangent drawn from a point A to the circle C.
BC = r [Radius of the circle]
Length of AC = (18 + r)
AB = 30
By the property of a tangent drawn to a circle,
"Radius of a circle and tangent are perpendicular to each other"
AB ⊥ BC
By applying Pythagoras theorem in ΔABC,
AB² + BC² = AC²
(30)² + r² = (r + 18)²
900 + r² = r² + 36r + 324
36r = 900 - 324
r = ![\frac{576}{36}](https://tex.z-dn.net/?f=%5Cfrac%7B576%7D%7B36%7D)
r = 16 units
M = -4/3 (slope stays the same)
so y= -4/3x + b
b = y intercept
without a point on the line I can’t figure out what exact line you were looking for but that equation with any value as b will give you a line parallel to the original.