Question

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Answer 1

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

How to determine the speed of travel?

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.

$x = \sqrt{3^2 + 6^2}$

Evaluate the exponents

$x = \sqrt{9 + 36}$

Evaluate the sum

$x = \sqrt{45}$

Evaluate the exponent

x = 6.71

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

How to determine the direction of travel?

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

$\tan(\theta) = \frac 36$

Evaluate the quotient

$\tan(\theta) = 0.5$

Take the arc tan of both sides

$\theta = \tan^{_1}(0.5)$

Evaluate

$\theta = 27$

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

Read more about speed and distance at:

brainly.com/question/4931057

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