Wednesday, February 17, 2010

Diagram Of A Small Boat Bearings+Trig?

Bearings+Trig? - diagram of a small boat

Two boats leave the dock in the same period. H is the largest ship in the southwest direction at 24 km /, and the smallest boat follows a course of 210 °. After 2 hours the great ship lies west of the small boat.
(a) Draw a diagram of the situation and are therefore, as 2 vessels after 2 hours.
(b) What was the average speed of the smaller vehicles in this period of 2 hours?

Please help with these issues I'm having problems. Any contribution is welcome.

2 comments:

gello15 said...

a) can not help with the chart, I will try to describe ... is a triangle with a 48 = \\ \\ \\ \\ \\ \\ \\ \\ u0026lt a = 60DEG, \\ \\ \\ \\ \\ \\ \\ \\ u0026lt B = 75deg, \\ \\ \\ \\ \\ \\ \\ \\ u0026lt, C = C = 45deg longest distance traveled route by boat to 2 hours, B = distance between the two boats after 2 hours. Hope this helps ...
with the sine law:
A / sin \\ \\ \\ \\ \\ \\ \\ \\ u0026lt, A = B / sin \\ \\ \\ \\ \\ \\ \\ \\ u0026lt; B
B = (48) (sin 75) / sin 60 = 53537 km

b) Speed = dist / time = 53537 / 2 = 26.769 km / h

gello15 said...

a) can not help with the chart, I will try to describe ... is a triangle with a 48 = \\ \\ \\ \\ \\ \\ \\ \\ u0026lt a = 60DEG, \\ \\ \\ \\ \\ \\ \\ \\ u0026lt B = 75deg, \\ \\ \\ \\ \\ \\ \\ \\ u0026lt, C = C = 45deg longest distance traveled route by boat to 2 hours, B = distance between the two boats after 2 hours. Hope this helps ...
with the sine law:
A / sin \\ \\ \\ \\ \\ \\ \\ \\ u0026lt, A = B / sin \\ \\ \\ \\ \\ \\ \\ \\ u0026lt; B
B = (48) (sin 75) / sin 60 = 53537 km

b) Speed = dist / time = 53537 / 2 = 26.769 km / h

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