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Ghella [55]
3 years ago
6

In airplane pilot changed his attitude by 100 meters. Describe what this could mean

Mathematics
1 answer:
tamaranim1 [39]3 years ago
6 0
I hunk you mean to say altitude, not attitude. Change could mean either positive or negative and altitude is another way of saying height. So if he changed his altitude by 100 meters, then the pilot could either be flying 100 meters higher than before or 100 meters lower than before.
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Answer:

\boxed{\sf sin\ C =\frac{40}{41}}

Step-by-step explanation:

We need to find out the value of sinC using the given triangle . Here we can see that the sides of the triangle are 40 , 41 and 9 .

We know that the ratio of sine is perpendicular to hypontenuse .

\sf\longrightarrow sin\theta =\dfrac{ perpendicular}{hypontenuse}

Here we can see that the side opposite to angle C is 40 , therefore the perpendicular of the triangle is 40. And the side opposite to 90° angle is 41 . So it's the hypontenuse . On using the ratio of sine ,

\sf\longrightarrow sinC =\dfrac{ p}{h}\\\\\sf\longrightarrow sin\ C =\dfrac{AB}{AC}

Substitute the respective values ,

\sf\longrightarrow \boxed{\blue{\sf sin\ C =\dfrac{40}{41}}}

<u>Hence the required answer is 40/41.</u>

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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
What is the image of point (4, 5) after a counterclockwise rotation of 270º about the origin?
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A <span>counterclockwise rotation of 270º about the origin is equivalent to a </span><span>clockwise rotation of 90º about the origin.

Given a point (4, 5), the x-value, i.e. 4 and the y-value, i.e. 5 are positive, hence the point is in the 1st quadrant of the xy-plane.

A clockwise rotation of </span><span>90º about the origin of a point in the first quadrant of the xy-plane will have its image in the fourth quadrant of the xy-plane. Thus the x-value of the image remains positive but the y-value of the image changes to negative.
Also the x-value and the y-value of the original figure is interchanged.
For example, given a point (a, b) in the first quadrant of the xy-plane, </span><span>a counterclockwise rotation of 270º about the origin which is equivalent to a <span>clockwise rotation of 90º about the origin will result in an image with the coordinate of (b, -a)</span>

Therefore, a </span><span>counterclockwise rotation of 270º about the origin </span><span>of the point (4, 5) will result in an image with the coordinate of (5, -4)</span> (option C)
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