Urgent!!!
lyra is canoeing with her scout troop. she needs to paddle north across the river to catch up to her troop where they
are having a picnic lunch on the opposite shore. the river's current travels east at 3 ft per second, and she can paddle
at 6ft per second.
by modeling this situation with vectors, a right triangle can be created.
1. lyra attempts to paddle directly across the river, perpendicular to
the current. what will lyra's speed be as she travels? answer in
feet per second
2. what direction does lyra travel? answer in degrees north of east.

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MrRoyal MrRoyal · Answer 1 · 2022-06-27T16:07:15+02:00

Lyra's speed of travel is 6.71 feet per seconds and Lyra's direction of travel is 27 degrees north of east

The diagram that represents the scenario is added as an attachment.

Let x represents Lyra's speed of travel.

The value of x is calculated using the following Pythagoras theorem.

[tex]x = \sqrt{3^2 + 6^2}[/tex]

Evaluate the exponents

[tex]x = \sqrt{9 + 36}[/tex]

Evaluate the sum

[tex]x = \sqrt{45}[/tex]

Evaluate the exponent

x = 6.71

Hence, Lyra's speed of travel is 6.71 feet per seconds

The direction (∅) is calculated using the following tangent ratio.

[tex]\tan(\theta) = \frac 36[/tex]

Evaluate the quotient

[tex]\tan(\theta) = 0.5[/tex]

Take the arc tan of both sides

[tex]\theta = \tan^{_1}(0.5)[/tex]

Evaluate

[tex]\theta = 27[/tex]

Hence, Lyra's direction of travel is 27 degrees north of east

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https://brainly.com/question/4931057

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