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Andrei [34K]
3 years ago
8

A shooting star forms a right triangle with the Earth and the Sun, as shown below:

Mathematics
1 answer:
frez [133]3 years ago
3 0

The positions of the sun, earth and shooting star form a right angled triangle, where distance between earth and sun is 'y', and the angle 'x°' is given

Now, in a right angled triangle using trigonometry, we can determine a side of the triangle is one of the sides and one of the angles is known

Here, if we use cos x = \frac{Base}{Hypotenuse} we can determine the distance between the shooting star and the sun. This can be done because we know that the base is 'y', the angle is x° and the hypotenuse represents the distance between the sun and the shooting star

Note: cos values for each x are definite.

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Xin leans a 26-foot ladder against a wall so that it forms an angle of 78^{\circ} ∘ with the ground. What’s the horizontal dista
defon

The ladder and the wall it leans on are illustrations of right triangle

The horizontal distance from the base of the ladder is 5.41 feet

<h3>How to determine the horizontal distance?</h3>

The given parameters are:

Length (L) = 26 feet

Angle of elevation (θ) = 78 degrees

The horizontal distance (D) is calculated using the following cosine ratio

cos(θ) = D/L

Substitute known values

cos(78) = D/26

Make D the subject

D = 26 * cos(78)

Multiply

D = 5.41

Hence, the horizontal distance from the base of the ladder is 5.41 feet

Read more about right triangles at:

brainly.com/question/2437195

5 0
2 years ago
Rewrite the equation using the properties of exponents. <br><br> <img src="https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B81y%5E7%7D"
nekit [7.7K]

Answer:

3y^2 3√3y(end route) if you are simplifying, and (81y^7)^1/3 if you are rewriting it.

Step-by-step:

I know this!

3 0
3 years ago
Which solid has a greater volume? O A. Figure A 48 B. Figure B O C. they are equal A 2 O D. need more information​
MatroZZZ [7]

9514 1404 393

Answer:

  B.  Figure B

Step-by-step explanation:

The figure is difficult to read. We assume the height of the pyramid is 9, and the radius of the cylinder is 1.

The pyramid volume is ...

  V = 1/3Bh

  V = 1/3(4²)(9) = 48 . . . cubic units

__

The cylinder volume is ...

  V = πr²h

  V = π(1²)(48) = 48π . . . cubic units

The cylinder has π times as much volume as the pyramid. Figure B is larger.

_____

<em>Additional comment</em>

If the diameter (not the radius) of the cylinder is 1 unit, then its volume is 12π cubic units and the pyramid has more volume.

7 0
3 years ago
How to do slope intercept form again?!
Anestetic [448]
You intercept by shaping in a volcano form if that's what you mean
8 0
3 years ago
Solve for the value of x.
choli [55]

Answer:

A

Step-by-step explanation: I just guessed

3 0
2 years ago
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