1.5[3(14.5+7)-3]-7.4

Answer:

There are two possible answers depending on how you interpret the question. Please read the explanation below carefully and in full

Diagonal distance from top of tower to plane :

[tex]\boxed{d= 12,571\;feet}[/tex]

Horizontal distance from control tower to plane:
[tex]\boxed{h = 10571\;feet}[/tex]

Step-by-step explanation:

Before explanation, I must say the question is confusing. Are they asking for the distance from the top of the tower or the horizontal distance from the location of the tower?

I am giving answers for both. You can ask your professor about this and answer with the right one.

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This question and explanation can best be understood by drawing a diagram with given information

First, look at the attached Image
A is the top of the control tower 320 feet above the ground

B is the location of the plane 7450' above ground level.

The point C which lies on the vertical line is at the same height from the ground as the top of the control tower i.e. 320 feet

So B

Points ABC form a right triangle with m∠ACB = 90°

m∠ABC = 56° (given)

Since the 3 angles of a triangle add up to 180°, we have

m∠BAC + 56 + 90 = 180°

m∠BAC = 180 - (56 + 90) = 34°

Diagonal distance from top of tower(d)

The objective is to find d.

Use the law of sines which states:

If a, b and c are the lengths of the legs of a triangle opposite to the angles A, B and C respectively; then the law of sines states:
[tex]\dfrac{a}{\sin A} = \dfrac{b}{\sin B} = \dfrac{c}{\sin C}[/tex]

Looking at the various side lengths and  angles and applying this law we get

[tex]\dfrac{7130}{\sin 34^\circ} = \dfrac{d}{\sin 90^\circ}\\\\\textrm{Since }\sin 90^\circ } = 1\\\\\dfrac{7130}{\sin 34^\circ} = d\\\\d = 12,750.5194 = 12,751 \textrm{ feet rounded to nearest foot}\\\\[/tex]

Horizontal distance from tower

Use the law of sines again.

Without calculating d first, we can use

[tex]\dfrac{h}{\sin 56^\circ} = \dfrac{7130}{\sin 34^\circ}\\\\[/tex]

[tex]h = \dfrac{7130 (\sin 56^\circ)}{\sin 34^\circ} = 10,570.659 = 10,571 \;feet[/tex]

Therefore the possible answers are

Diagonal distance from top of tower to plane :
[tex]\boxed{d= 12,571\;feet}[/tex]

Horizontal distance from control tower to plane:
[tex]\boxed{h = 10571\;feet}[/tex]

It is highly likely that they are looking for the horizontal distance but check with your prof or include both answers

The way I view this problem is the resultant R is making a 60 degree angle from one of the forces, The two forces are at right angle from each other and they are the x-component Rx and the y- component Ry of the resultant. If the magnitude of Rx = 4N then the angle opposite the side is 30 degrees. The Ry component can be solved using the Pythagorean theorem.

Step 1

one force=4kn

resultant=8kn

degree=60

it can be solved using the Pythagorean theorem.

Step 2

R^2 = Rx^2 + Ry^2

8^2 = 4^2 + Ry^2

64 = 16 + Ry^2

Ry^2 = 64 - 16

Ry^2 = 48

Ry = 6.9282 N

Solving for the direction of Ry

Ry is 90 degrees from Rx

To learn more about resultant force refers to;

https://brainly.com/question/7462524

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Answer: x=2

Step-by-step explanation:

−3x+4=2x−6

Subtract 2x from both sides.

−3x+4−2x=−6

Combine −3x and −2x to get −5x.

−5x+4=−6

Subtract 4 from both sides.

−5x=−6−4

Subtract 4 from −6 to get −10.

−5x=−10

Divide both sides by −5.x=−5−10

​Divide −10 by −5 to get 2

x=2

The tutor that will earn more money in a week would be Zhen with the total income of =$1,080.

The total amount collected from pupils tutor by Zhen company = $2400

The 45% of $2400 = 45/100 × 2400

= 108000/100

= $1,080

The total amount collected from pupils Ryder tutored would be = $1080

The 45% of $1080 = 45/100 × 1080

= 48600/100

= $486

Therefore, the tutor that earned higher income is Zhen with an income of $1,080.

Learn more about percentage here:

https://brainly.com/question/24304697

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Complete question:

Zhen and Ryder work as tutors at two different test-prep companies. In one week, Zhen earns 45% of the $2400 collected from the pupils tutors. Ryder earns 45% of the $1080 collected from the pupils she tutors the same week. Who earns more money in a week? Explain.