A commuter airplane starts from an airport and takes the route shown in the figu

Question

A commuter airplane starts from an airport and takes the route shown in the figure below. The plane first flies to city A located 175 km away in a direction 30.0 A commuter airplane starts from an airport and takes the route shown in the figure below. The plane first flies to city A located 175 km away in a direction 30.0 A commuter airplane starts from an airport and takes the route shown in the figure below. The plane first flies to city A located 175 km away in a direction 30.0 A commuter airplane starts from an airport and takes the route shown in the figure below. The plane first flies to city A located 175 km away in a direction 30.0

Explanation / Answer

assuming the straight line distance is what you have quoted. airport to A Distance east: cos 30 = east / 175 east = 151.55 km Distance north: sin 30 = north / 175 = 87.5 km A to B Distance north: cos 20 = north / 150 north = 140.95 km Distance west: sin 20 = west / 150 = 51.3km B to C =190km west Distance west from airport to C=-151.55 + 51.3 + 190 = 89.75km Distance north from airport = 87.5 + 140.95 = 228.45 Using pythagorus theorem h^2 = 89.75 ^ 2 + 228.95 ^ 2 h = 245.45 km tan theta = 89.75/228.45 theta = 21.45 deg

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.