Bob left home, riding his bike at a rate of 10mph to go to the lake. Cheryl, his wife, left 45 minutes ( 0.75 hours) later, driv
1 answer:
Answer:
It takes Cheryl 0.5 hour (or 30 minutes) to catch Bob.
Step-by-step explanation:
<u>Bob:</u>
rate = 10 mph
time = t
distance miles
<u>Cheryl:</u>
rate = 25 mph
time = t - 0.75 hours
distance miles
If Cheryl catchs up to Bob, then their distances are the same:
It takes Cheryl 1.25 - 0.75 = 0.5 hour (or 30 minutes) to catch Bob.
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Answer:
We draw line AB which is perpendicular to the 14 cm side
Since Angle C is 60 degrees that makes angle CAB = 30 degrees
Triangle CAB is a 30 60 90 triangle so line CB is half the hypotenuse or 5 cm
Line BD equals 9 cm
Line AB^2 = 10^2 - 5^2 = 75
Line AD^2 = AB^2 + BD^2
Line AD^2 = 75 + 81
Line AD^2 = 156
Line AD = 12.4899959968
Line AB = Sqr root (75) = 8.6602540378
Angle D = arc sine (8.6602540378 / 12.4899959968)
Angle D = 43.898 degrees
Angle A = 180 - 60 - 43.898 = 76.102 degrees
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Actually this could have been done a little easier by using the Law of Cosines and then the Law of Sines, but I just thought I'd show another way to solve this.
Step-by-step explanation:
