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erastovalidia [21]
3 years ago
15

The reference angle for an angle whose measure is -440 is _____. 60 80 100

Mathematics
2 answers:
Llana [10]3 years ago
8 0
80 is correct. 
-440+360 = 80
Artemon [7]3 years ago
8 0
<h2>Answer:</h2>

The reference angle for an angle whose measure is -440 is  80.

<h2>Step-by-step explanation:</h2>

Reference angle--

It is the angle which is made from the terminal side of the given angle and it is always made by taking x-axis as a reference.

Here we are given a angle whose measure is:

   -440.

This means that the angle covers more than one rotation and ends in the fourth quadrant.

Hence, the reference angle is:

-440+360=80

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Problem 9, part a)

Compass bearings always have north as the starting point. This is where 0 degrees is situated, and 360 degrees as well. As the bearing angle increases, you'll turn to the right toward the eastward direction. Effectively you're sweeping out a clockwise rotation. The bearing 322 degrees is in a northwest position as the diagram shows (place the ship at the bottom right corner of the triangle). The bottom right acute angle of the triangle is 322 - 270 = 52 degrees. This is the reference angle we'll use for finding the distance d.

With respect to the reference angle of 52 degrees, the side 18.5 is the opposite side and d is the adjacent side. Use the tangent ratio to get...

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This rounds to 14.5 when rounding to one decimal place.

<h3>Answer: 14.5 km</h3>

=======================================================

Problem 9, part b)

Recall that

distance = rate*time

where "rate" is another term for "speed" or "velocity"

We can solve this for the time to get

time = distance/rate

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So,

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This is the time it takes in hours. Multiply by 60 to convert to minutes

0.3011205018828 hours = 60*0.3011205018828 = 18.067230112968 minutes

This rounds to the whole number 18

<h3>Answer: 18 minutes</h3>
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