Answer:
<h3>AB ≈ 70m</h3>Step-by-step explanation:
Check the attachment for the diagram.
You can see from the diagram that it is a right angled triangle with opposite side AB and adjacent side BC. Using SOH, CAH, TOA trig identity to get the length of AB. According to TOA;
tan 35° = opposite/adjacent
tan 35° = AB/BC
tan 35° = AB/100
AB = 100tan35°
AB = 100 * 0.7002
AB = 70.02m
Hence the distance across a lake between A and B is approximately 70m
Answer: The required probability is 22.5%.
Step-by-step explanation:
Since we have given that
Probability of radio listeners live in Waterville = 0.75
Probability of radio listeners live in Newport = 0.25
Probability of radio station KTBC in Waterville = 0.20
Probability of radio station KTBC in Newport = 0.30
So, using "Multiplication rule of Probability":
Probability that the listener will be tuned in to station KTBC is given by
Hence, the required probability is 22.5%.