Answer:
Step-by-step explanation:
a)
i)
<u>Use the law of cosines:</u>
ii)
<u>Use the law of sines:</u>
- sin ∠A / PB = sin ∠P / AB
- sin ∠A / 100 = sin 80 / 107.31
- sin ∠A = 100 sin 80 deg / 107.31
- sin ∠A = 0.92
- ∠A = arcsin 0.92
- ∠A = 67° (rounded)
iii)
<u>Bearing of B from A:</u>
b)
<u>PB is longer distance. Time to reach B:</u>
- t = d/s
- t = 100/20 = 5 hours
<u>The speed s of the slower ship:</u>
- s = d/t
- s = 60/5 = 12 km/h
Answer:
d
Step-by-step explanation:
if she connects it to any other point angle would be more the 30 degree
here's the solution,
let the length of shorter peice = x
then the lenght of longer peice = 6x + 8
now, we know that the sum of length of peices measures 99 feet,
So,
=》x + 6x + 8 = 99
=》7x = 91
=》x = 13
shorter piece length = 13 feet
longer peice length = 13 × 6 + 8 = 78 + 8 = 86 feet
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