Question

Q Search
Performance Task
Navigation
Have you ever wondered how sailors navigated the oceans before the Global Positioning
System (GPS)? One method sailors used is called dead reckoning. How does deal
reckoning use mathematics to track locations? Could you use this method today?
1. In nautical navigation, it is common practice to use angle measures in degrees,
distances in nautical miles, and speed in knots (nautical miles per hour). The
relationship between miles per hour and knots is linear. (1 knot = 1.15078 mi/h)
Use this relationship to complete the chart to the nearest tenth of a mile.
knots
mi/h
5 knots
mi/h
10 knots
mi/h

Answer 1

Answer:

knots           mi/h

5 knots         5.7539 mi/h

10 knots        11.5078 mi/h

Step-by-step explanation:

Given

knots           mi/h

5 knots         _mi/h

10 knots        _mi/h

Required

Fill in the gap

From the question, we understand that

$1 knot = 1.15078mi/h$

Solving (a): 5 knots

Recall:

$1 knot = 1.15078mi/h$

Multiply both sides by 5

$5 * 1 knot = 1.15078mi/h * 5$

$5\ knots = 1.15078mi/h * 5$

$5\ knots = 5.7539\ mi/h$

Solving (b): 10 knots

Recall:

$1 knot = 1.15078mi/h$

Multiply both sides by 10

$10 * 1 knot = 1.15078mi/h * 10$

$10\ knots = 1.15078mi/h * 10$

$10\ knots = 11.5078mi/h$

Hence; The complete table is

knots           mi/h

5 knots         5.7539 mi/h

10 knots        11.5078 mi/h