1. 1/5
2. 3/5
3. i do not understand
4. 1/2 (even chance)
180° = π radian
1° = π/180 radian
∵ 145° = π/180 × 145
= 36π/29 radian
That is an angle bisector.
It divides an angle in half
hope it helps
consider X-axis along the east-west direction and north-south direction along Y-axis
A = magnitude of distance traveled by hiker in north-east direction = 30 kilometer
θ = angle of direction of displacement of the hiker relative to x-axis or east direction = 45 degree counterclockwise
A' = component of distance traveled by the hiker along the east direction.
Since the angle is given with the x-axis, the Sin provides the component in Y-direction. hence
Using the equation
A' = A Sinθ
Inserting the values
A' = (30) Sin45
A' = 21.2 km
The answer is 127.16 pi m³, hope this helps.