Answer:
0.128rad/sec
Step-by-step explanation:
Let x represent the between the man and the point on the path
θ = the angle
dx/dt = 4 ft/s
dθ/dt = rate is the searchlight rotating when the man is 15 ft from the point on the path closest to the searchlight
tan θ = x/20 ft
Cross Multiply
20tan θ = x
dx/dt = 20sec² θ dθ/dt
dθ/dt = 1/20 × cos² θ dx/dt
dθ/dt= 1/20 × cos² θ × 4
dθ/dt = 1/5 × cos² θ
Note : cos θ = 4/5
dθ/dt = 1/5 × (4/5)²
dθ/dt = 16/125
dθ/dt = 0.128rad/sec
Answer:
70 sq. in
Step-by-step explanation:
Area of the figure
= ( 10 x 5 ) + ( 5 x 4 )
= 50 + 20
= 70
= 70 sq. in
<span>∠BCA = 120 /2 = 60
answer
</span><span>∠BCA</span>
Answer: there were 4 people at a party. There was 1 cookie left on the table and all of them wanted it. They divided it between the four of them so they could all have a peice.
Step-by-step explanation:
