54. [T] A boat is traveling in the water at 30 mph in a direction of N20E (that is, 20° east of north). A strong current is moving at 15 mph in a direction of N45E. What are the new speed and direction of the boat? 20° 30 15 45°

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section: Chapter Questions
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54. [T] A boat is traveling in the water at 30 mph in a
direction of N20E (that is, 20° east of north). A strong
current is moving at 15 mph in a direction of N45E.
What are the new speed and direction of the boat?
20°
30
15
45°
X
4. In this problem from the book we will break down
steps, doing part on each slide.
a. Write the original motion of the boat a a vector by
breaking that motion into components. You will
need to use a calculator to estimate sine and cosine
of 70 degrees (why 70 and not 20)? Decimal
answers are fine, but carry at least 2 decimal places.
Write vector as <a,b>.
Transcribed Image Text:54. [T] A boat is traveling in the water at 30 mph in a direction of N20E (that is, 20° east of north). A strong current is moving at 15 mph in a direction of N45E. What are the new speed and direction of the boat? 20° 30 15 45° X 4. In this problem from the book we will break down steps, doing part on each slide. a. Write the original motion of the boat a a vector by breaking that motion into components. You will need to use a calculator to estimate sine and cosine of 70 degrees (why 70 and not 20)? Decimal answers are fine, but carry at least 2 decimal places. Write vector as <a,b>.
54. [T] A boat is traveling in the water at 30 mph in a
direction of N20E (that is, 20° east of north). A strong
current is moving at 15 mph in a direction of N45E.
What are the new speed and direction of the boat?
y
20°
30
15
45°
4. In this problem from the book we will break down.
steps, doing part on each slide.
b. Write the original motion of the current as a
vector. Decimal answers are fine. Write in the form
<a,b>
Transcribed Image Text:54. [T] A boat is traveling in the water at 30 mph in a direction of N20E (that is, 20° east of north). A strong current is moving at 15 mph in a direction of N45E. What are the new speed and direction of the boat? y 20° 30 15 45° 4. In this problem from the book we will break down. steps, doing part on each slide. b. Write the original motion of the current as a vector. Decimal answers are fine. Write in the form <a,b>
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