Solve each triangle. Round your answers to the nearest tenth. m∠A = 60°, m∠B = 30°, c = 30 cm
2 answers:
Answer:
Angle C = 90°
a = 15sqroot3
b = 15
Step-by-step explanation:
Solve a triangle means to find all the angles and all the sides.
Angle C must be 90° because all the angles of a triangle add up to 180°.
That makes this a 30°-60°-90° triangle so there are SHORTCUTS to finding the sides so you don't have to use trig or pythagorean thm.
SHORTCUT:
The shortest side is half the longest side. (The short leg is half the hypotenuse) and/or the longest side is twice the shortest side.
SHORTCUT:
The long leg is the shortleg•sqroot3
(advanced mode: the shortleg is the longleg/sqrt3)
So for your problem, the hypotenuse is 30, so the short leg is 15. And that makes the long leg 15sqrt3. See image.
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Answer:
Step-by-step explanation:
First you need to find your True Air Speed (TAS). I used the formula:
where is the density at mean sea level at 15°C which is 1.225 kg/m^3 and
is the density of the air in which the airplane is flying. In this case with the given altitude and air temperature is about: 1.073 kg/m^3.
So TAS is equal to: 123 kt in this case.
To get the time of arrival you need to get your ground speed. For that you need to compensate for the wind speed and direction. With the drift angle you can get your ground speed.
In this case you get ground speed of 115 kt which means to travel 218 nautical miles you need 1 h and 53 min which means you will arrive at: 1135.