Visual - various maths sites (credits to original creator) Questions - Dong Zong's Textbook

2. 𝒑𝒈 𝟖𝟓
32,584 𝑘𝑚
3,185 𝑘𝑚

3. 𝒑𝒈 𝟖𝟑
𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒 = 70° × 60 × 𝑐𝑜𝑠 40°
= 3,217 𝑛𝑎𝑢𝑡𝑖𝑐𝑎𝑙 𝑚𝑖𝑙𝑒
70°
𝑟

4. 𝒑𝒈 𝟖𝟑

5. 𝒑𝒈 𝟖𝟒

6. 𝒑𝒈 𝟖𝟓
𝑄 (48° 𝑁, 25 ° 27’ 𝑊)
319.2 𝑘𝑚
𝐴 (48° 52’ 𝑁, 32 ° 23’ 𝐸)

7. 𝒑𝒈 𝟖𝟓
(42° 𝑁, 33 ° 27’ 𝐸) 𝑜𝑟 (42° 𝑁, 6° 33’ 𝑊)
(40° 𝑁, 33 ° 47’ 𝐸)
(52° 30’ 𝑁, 14 ° 03’ 𝑊)
4,800 海里

8. 𝒑𝒈 𝟖𝟓
𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒 = 160° × 60 × 𝑐𝑜𝑠 60°
= 4,800 海里
=
160°
360°
× 2𝜋 × 6370 × 𝑐𝑜𝑠 60°
= 8,895.35 𝑘𝑚
=
8,895.35
1.853
= 4,800 海里

10. 𝒑𝒈 𝟖𝟔 − 𝟖𝟕
𝐵

11. 𝒑𝒈 𝟖𝟕
319.14 𝑘𝑚
6,559 𝑘𝑚
3,539 海里
998.7 𝑘𝑚
8,565 𝑘𝑚
1,841 𝑘𝑚

12. 𝒑𝒈 𝟖𝟕
𝑠𝑖𝑛
1
2
𝜃 = 𝑠𝑖𝑛
𝛼
2
𝑐𝑜𝑠 𝛽
= 𝑠𝑖𝑛
160 °
2
𝑐𝑜𝑠 60 °
= 0.4924
𝜃 = 58.997 °
=
58.997°
360°
× 2𝜋 × 6370
= 6,560 𝑘𝑚
=
6,560
1.853
= 3,540 海里