Word Problem with bearings, distance traveled

Word Problem with bearings, distance traveled

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to calculate the northward distance a plane travels using its bearing and distance traveled. It begins with an introduction to the problem, followed by a detailed explanation of how to convert bearing into a decimal. The instructor sets up the problem using a right triangle and identifies the necessary variables. The tutorial then demonstrates solving a trigonometric equation to find the northward distance, concluding with the final calculation and rounding the result to the nearest thousandth.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial bearing of the plane as it leaves the airport?

N 17 degrees 30 minutes W

E 17 degrees 30 minutes N

S 17 degrees 30 minutes E

N 30 degrees 17 minutes W

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the bearing of N 17 degrees 30 minutes W converted into decimal degrees?

17.8 degrees

17.5 degrees

17.6 degrees

17.3 degrees

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the problem setup, what does the variable 'D' represent?

The altitude of the plane

The eastward distance traveled by the plane

The total distance traveled by the plane

The northward distance traveled by the plane

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which trigonometric function is used to calculate the northward distance 'D'?

Cosine

Secant

Sine

Tangent

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the northward distance traveled by the plane rounded to the nearest thousandth?

28.612

28.611

28.610

28.615