Angular Distance and Time Differences

The video tutorial covers spherical geometry concepts, focusing on HSC exam questions. It explains how to calculate time differences using angular distances, find arc lengths, and determine latitude and longitude from diagrams. The tutorial also includes calculations for flight times and local time differences, as well as great circle distances and conversions between kilometers and nautical miles.

What is the main focus of the final lesson on spherical geometry?

• Review of HSC exam questions

• Practical applications of geometry

• History of spherical geometry

• Introduction to spherical geometry concepts

If Toronto is at 80° West and Perth is at 115° East, what is the angular distance between them?

• 175°

• 135°

• 235°

• 195°

How many hours is the time difference between Toronto and Perth if 15° equals 1 hour?

• 15 hours

• 14 hours

• 13 hours

• 12 hours

What is the angular distance between two towns on the equator if one is 16° East and the other is 52° West?

• 52°

• 104°

• 36°

• 68°

Using the formula for arc length, what is the distance between two equatorial towns with an angular distance of 68°?

• 7400 km

• 6800 km

• 7200 km

• 7600 km

In a diagram of the Earth, if point A is at 30° North and 110° East, what is its latitude and longitude?

• 30° North, 110° East

• 30° North, 0° East

• 30° South, 110° West

• 0° North, 0° East

An aircraft departs from Kenya at 38° East and flies to Borneo at 113° East. What is the angular distance?

• 75°

• 95°

• 65°

• 85°

If an aircraft travels 8378 km at a speed of 913 km/h, how long will the flight take?

• 8 hours

• 9 hours

• 11 hours

• 10 hours

What is the local time in Borneo when an aircraft arrives if it departs Kenya at 10 p.m. and takes 9 hours?

• 12 p.m. Wednesday

• 1 p.m. Wednesday

• 10 a.m. Wednesday

• 11 a.m. Wednesday

What is the difference in latitude between Sarong at 1° South and Darwin at 12° South?

• 11°

• 13°

• 10°

• 12°