Two ships depart from the same harbor. One ship travels \( 20 \) miles \( N 40 ^ { \circ } E \) and then travels \( 15 \) miles \( N 10 ^ { \circ } E \) . The other ship travels \( 30 \) miles \( N 20 ^ { \circ } E \) and then travels \( 15 \) miles South. What is the distance between the ships in their final positions?
Question
Answer
d=12.74 miles
Related Questions
Q:
Lupe and Byron start riding their bikes from the same location. Lupe rides \( 24 \) miles north while Byron rides \( 7 \) miles east. How far apart are Lupe and Byron when they stop riding? HINT: draw a picture.
Q:
Use a calculator to show that each of the following pairs of coterminal angles \( \theta \) and \( \beta \) have the same values, correct to four decimals, for the sine ratio.
a. \( \theta = 100 ^ { \circ } , \beta = 460 ^ { \circ } \) b. \( \theta = 245 ^ { \circ } , \beta = - 115 ^ { \circ } \)
c. \( \theta = - 75 ^ { \circ } , \beta = - 1155 ^ { \circ } \) d. \( \theta = 2000 ^ { \circ } , \beta = 920 ^ { \circ }\)