Answer:
Angle 5 = 122
Step-by-step explanation:
Assume EB and AD intersect each other at point C
As this is the circle, four points A,B,D,E are all on the circle, so that we have:
+) m∠EBD = 1/2 measure of arc ED (small arc)
=> m∠EBD = 1/2 . 66 = 33 degree
=> m∠CBD = 33
+) m∠ADB = 1/2 measure of arc AB (small arc)
=>m∠ADB = 1/2 . 50 = 25 degree
=>m∠CDB = 25 degree
In the triangle CDB, we have total measure of three internal angles is 180 degree
=> Angle 5 + m∠CDB + m∠CBD = 180
=> Angle 5 + 25 + 33 = 180
=> Angle 5 = 180 -25 - 33 = 122 degree
Answer:
a)
AB is on the latitude 30°N.
<u>Find AB:</u>
- AB = 2*3.142*6400*cos 30°*(32+35)/360 = 6482.15 km
BC is along longitude 35°W
<u>Find BC:</u>
- BC = 2*3.142*6400*(30 + 20)/360 = 5585.77 km
<u>Total distance traveled:</u>
- 6482.15 + 5585.77 = 12067.92 km
<u>Convert the distance to nautical miles:</u>
12067.92/1.86 = 6488.13 nautical miles
b)
<u>Find the average speed:</u>
- 6488.13/22 = 294.92 nautical miles / hour
<u>Note</u>. <em>This is unrealistically high speed for a ship, this must be a plane or the time given wrong.</em>
705,003 is seven hundred five thousand, three in standard form
Answer:
2) 67.8°
3) 46.8°
4) 56.0°
Step-by-step explanation:
Use the right triangle trig functions
sine, cosine, or tangent and take the inverses to find the angle
