Towns p,q and s are shown Q is 35km due east of P Snis 15km due west of p r is 15km due south of p work out the bearing of r fro
m s
1 answer:
Answer:
Step-by-step explanation:
Check attachment for diagram
From the diagram, we can apply Pythagoras theorem to right angle triangle RPS
Then,
Tan θ = opposite / adjacent
Tan θ = 15 / 15
Tan θ = 1
θ = arcTan(1)
θ = 45°
The angle is between the east and south
Then, the bearing of 45°S of east.
The direction is also β
Where
β + θ = 360°
β + 45 = 360°
β = 360 - 45
β = 315°
You might be interested in
Answer:
0.4
Step-by-step explanation:
x=
p=0.4
Answer:
A) Parabola; B) 3.83 m; C) 8.84 m; D) 10 m/s
Step-by-step explanation:
A) Shape of water jet
The water jet has the shape of a parabola.
B) Maximum height
Data:
θ = 60°
u = 10 m/s
a = 9.8 m·s⁻²
Calculations:
1. Calculate the horizontal and vertical components of the velocity
2. Maximum height
C) Range
1. Calculate the time of flight
Use the vertical component of velocity to calculate the time to the maximum height of the stream.
It will take the same time to reach the ground.
Thus,
Time of flight = 2t = 2 × 0.884 s = 1.77 s
2. Calculate the horizontal distance
s = vt = 5 m·s⁻¹ × 1.77 s = 8.84 m
You should place the drain 8.84 m from the pipe.}
D) Modulus of velocity
The stream of water will hit the drain with the same velocity as when it left the pipe.
Thus, the modulus of the velocity is 10 m/s.
The graph below shows the trajectory of the water stream.
