2 years ago

A point's coordinates are changed from (–7, –2) to (–7, 2). What effect does this have on the location of the point

Mathematics

1 answer:

Inessa [10]2 years ago

7 0

It will move it from one section to another and make the x axis 4 units more to the right

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A rope is tied to the bottom of a hot air balloon as shown. The altitude of the balloon is 50 feet and the rope is 75 feet long.

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Answer:

As per the statement

The altitude of the balloon is 50 feet and the rope is 75 feet long.

⇒ Altitude of the balloon = 50 feet.

And length of the rope = 75 feet.

We have to find the angle that rope makes with ground,

Using Sine ratio:

$\sin \theta = \frac{\text{Opposite side}}{\text{Hypotenuse side}}$

You can see the diagram as shown below.

Here,

Opposite side = Altitude of the balloon = 50 feet.

Hypotenuse side = length of the rope = 75 feet.

Substitute the given values we have;

$\sin \theta = \frac{50}{75} =\frac{2}{3}$

⇒ $\theta = \sin^{-1} (\frac{2}{3})$ = 41.8°

Therefore, the angle that the rope makes with the ground is, 41.8 degree

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