Answer:
62.2° (or 1.1 rad)
Step-by-step explanation:
Let’s call the three points A Allen’s house, B Bob’s house, T the traffic light and α “angle of depression”.
Since we have a right triangle BTA, let’s first find out the angle ∡BTA based on its opposite side AB = 7 km and the hyponenuse TA = 15 km.
∡BTA = arcsin(AB/TA) ≈ arcsin(0.4667) ≈ 0.4855 rad or 27.82°
Now since the text says the connecting line TA “is vertical to the road”, α is the rest of the right angle when ∡BTA subtracted.
α ≈ 90° - 27.82° = 62.18°
or α ≈ 0.5 π rad - 0.4855 rad ≈ 1.09 rad
See above for properly rounded values.
Answer: 10% were missing
Step-by-step explanation:
30 Students = 100% FYI in the problem
1/2 = 50%
50% + 40% = 90%
100% - 90% = 10%
Hope this helps.
Answer:
Step-by-step explanation:
a) If events A and B are independent we have
P(A/B) =P(A)
But here P(A/B) = 0.8 and P(A)=0.2
Hence A and B are not independent.
b) If events A and B are independent we have
P(A/B) =P(A)
But here P(A/B) = 0.6 and P(A)=0.3
Hence A and B are not independent.
c) If events A and B are independent we have
P(A/B) =P(A)
Jere P(A/B) = 0.5 and P(A)=0.5
Hence A and B are independent.
