When gold medalist Ren Qian prepared for her dive from the 10 meter platform during the

Olympics, she looked out at her family sitting on the front row (level with the pool) at a 20°

angle of depression. How far away was Ren from her family (ground distance)? Round to the

nearest tenth of a meter.

Write answer like this: ##.# m.

(5 Points)

Enter your answer

Answers

Answer 1

Answer:

Ren was 27.5 meters away from her family.

Step-by-step explanation:

Ren Qian was at a height of 10 meters to the ground. Let the distance from her vertical point on the ground to her family (i.e the ground distance) be represented by x.

But the angle of depression is measured with respect to the horizontal plane, so;

the vertical angle = [tex]90^{o}[/tex] - 20°

                             = [tex]70^{o}[/tex]

Applying the appropriate trigonometric function, we have;

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

Tan [tex]70^{o}[/tex] = [tex]\frac{x}{10}[/tex]

⇒ x = 10 x Tan [tex]70^{o}[/tex]

      = 10 x 2.7475

      = 27.475

x = 27.5 meters

Ren was 27.5 meters away from her family.


Related Questions

Deduce the square root of 7+4√3

Answers

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2 -[tex]\sqrt{3}[/tex]

♥step by step♥

7-4[tex]\sqrt{3}[/tex]

=7-2[tex]\sqrt{2x3}[/tex]

=7-2[tex]\sqrt{12}[/tex]

=([tex]\sqrt{3}[/tex])² - 2[tex]\sqrt{3x4}[/tex] + ([tex]\sqrt{4}[/tex] )

=( - [tex]\sqrt{3}[/tex] + [tex]\sqrt{4}[/tex])²

∴[tex]\sqrt{7-4}[/tex] [tex]\sqrt{3=2}[/tex] - [tex]\sqrt{3}[/tex]

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Which system of equations represents the graph?

Answers

Answer:

B

Step-by-step explanation:

if you look at the line one going up, the y axis is at the negatives meaning it begins as -5 . Then notice how it goes up 3 times and it goes to the right once. So the slope is 3/1 or simplified 3 so we know the slope intercept form is = y is 3x-5. Now we look at the second one. None of the answers of the second one are in slope intercept form. for that you have to turn them into it. When you do that for B will be y= -1/2x + 2. When you look at the line the y axis is 2 and the slope is -1/2x.

He ran 10 meters in 2.7 seconds. priya ran 10 meters in 2.4 seconds.
who ran faster? explain how u know

Answers

Answer:

The first person somehow

Step-by-step explanation: 10 divide by 2.7 is 3.7037037 and 10 divided by 2.4 is 4.16666667

Choose a justification for each step in the derivation of the sine difference identity.

Step 1:

Step 2: Distributive property

Step 3: Associative property

Step 4: Factoring out –1

Step 5:

Step 6:

Step 7:

Answers

The Sine difference function was derivated with the help of the sine sum function.

What is the sine difference function?

The difference function for the sine function states that the sine of the difference of two angles equals the product of the sine of the first angle and cosine of the second angle minus the product of the cosine of the first angle and the sine of the second angle.

As we know that

[tex]Sin(a+b) = SinaCosb + CosaSinb[/tex]..........(1)

If we replace b by -b equation (1) becomes

[tex]Sin(a+(-b)) = SinaCos(-b) + CosaSin(-b)[/tex]

We know that

Cos(-b) =cosb

Sin(-b) =-Sinb

So, [tex]Sin(a-b) = SinaCosb -CosaSinb[/tex]

Therefore, the Sine difference function was derivated with the help of the sine sum function.

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Help? Please I’m desperate

Answers

Answer:

its called a calculator division and multiplication

Step-by-step explanation:

Which number best represents the slope of the graphed line?

Answers

Answer:

-1/3

Step-by-step explanation:

because i aint never seen two pretty best friends, its always one of em gotta be ugly

Solve please

18 + 8x<34

Answers

Answer:

x=2

Step-by-step explanation:

2 is greater than x

Mrs. Kato has 6 bags of dried beans and a 2-pound bag of rice in one shopping bag. In another shopping bag she has a 5-pound bag of flour. The two shopping bags weigh the same amount. What is the weight of each bag of dried beans? Enter the correct answer in the box.

Answers

Given:

Mrs. Kato has 6 bags of dried beans and a 2-pound bag of rice in one shopping bag.

In another shopping bag she has a 5-pound bag of flour.

The two shopping bags weigh the same amount.

To find:

The weight of each bag of dried beans.

Solution:

Let x be the weight of each bag of dried beans.

So, weight of 6 bags of dried beans = 6x.

According to the question,

Weight of first bag = (6x + 2) pounds

Weight of second bag = 5 pounds

The two shopping bags weigh the same amount. So,

[tex]6x+2=5[/tex]

[tex]6x=5-2[/tex]

[tex]6x=3[/tex]

Divide both sides by 6.

[tex]x=\dfrac{3}{6}[/tex]

[tex]x=0.5[/tex]

Therefore, the weight of each bag of dried beans is 0.5 pounds.

The weight of each bag of dried beans is 0.5 pounds.

Given that,

Mrs. Kato has 6 bags of dried beans i.e. 6x and a 2-pound bag of rice in one shopping bag.In another shopping bag she has a 5-pound bag of flour. The two shopping bags weigh the same amount.

Based on the above information, the calculation is as follows:

6x + 2 = 5

6x = 5 -2

6x = 3

x = 0.5

Therefore, we can conclude that the weight of each bag of dried beans is 0.5 pounds.

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Please help! Which inequalities represents the domain & range of this problem

Answers

Answer:

X ≥ 20 and f(x) ≥ 1020

Step-by-step explanation:

i will give 100 pionts and branlyest to anyone who gits this right

If a scale drawing uses a scale of 1:12, then 2 1/2 inches on the model represents 2 1/2 feet. TrueFalse

Answers

Answer:

true

Step-by-step explanation:

True just do 2 1/2 times 12 (if you changed the answer to feet you would get 2 1/2 feet) or multiply 1 by 12 two times (24 inches) (represents the two inches converting into feet) then 1/2 times 12 (6 inches) (represents the half the inch getting multiplied by 12/ converting into feet).

PLEASE HELP ME!!!! HOMEWORK DUE IN 30 MIN!!!!!!

Answers

Answer:

b is 10.5 c is 11

Step-by-step explanation:

9+1.5

10.5

3(5)-4

15-4

11

Help please!! :) 20 points & brainliest for first correct answer!!

Please sketch the line of the equation on the graph in y = mx + b form

thanks in advance

Answers

Answer:

f(x)=6x

Step-by-step explanation:

nvjkszd,mzxnbfkves

How would you write 300000 + 400000 + 600 + 7 in standard form?

Answers

Answer:

700607

Step-by-step explanation:

whats the Estimate 646 + 738 and 646 + 738 also 356 + 467

Answers

Answer:

646+738=1380

356+467=820

Step-by-step explanation:

Answer:

1380

1380

820

Step-by-step explanation:

3. What is the slope and the y-intercept of
the line represented by equation:
2x + y = 1?
Explanation:

Answers

Answer:

The slope is -2/1 or simplified -2 and the y-intercept is 1

Step-by-step explanation:

Answer: Slope:-2  and y-intercept:1

Step-by-step explanation:

y=1 because the y by itself means 1.

The slope is a -2 because you have to do the opposite.

I used a calculator for math for the answer

Express the radical using the imaginary unit, i.
Express your answer in simplified form.
IV-18 = +

Answers

Answer:

0.79

Step-by-step explanation:

25+30+10+4=79 so 0.79

Answer:

0.79

Step-by-step explanation:

I know because of I got taught a little about this but if I am wrong I'm sooooooo sorry

What similarity property, if any, can be used to show that the following two triangles are similar.

A.) SSS
B.) SAS
C.) AA
D.) Not enough information given

Answers

My guess is SAS, it’s definitely not a or d

The two triangles could be similar by the AA similarity property. So, option C is correct.

What is AA similarity property?

AA is angle-angle similarity property.

In the given figure, both of these triangles show two given angles which are 42 degrees.

The other two sides are different and not proportional to each other.

So, The two triangles could be similar by the AA similarity property.

Thus, option C is correct.

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Please help if you are good at math!!

Answers

Answer:

Y intercept= (0,15)

X intercept= ([tex]\frac{3}{4}[/tex],0) , (5,0)

Vertex= -[tex]\frac{b}{2a}[/tex]

Step-by-step explanation:

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compare the decimal form of 2/5 and 4/9

Answers

Step-by-step explanation:

they are equal equally.

Answer:

The decimal form of 2/5 is .40. The decimal form of 4/9 is 0.4444. So 2/5 is smaller than 4/9, but if you round, they are equal.

Step-by-step explanation:

To get the decimal, you divide the numbers: 2 divided by 5 and 4 divided by 9.

Help please and please explain

Answers

Answer:

1st question example. all you have to do is write ∠XV, ∠VW, ∠WX

Step-by-step explanation:

the ∠ means the angles. so each angle has a degree. Just list them shortest angle to longest angle.

3/4 (4x+8)=-12. Distributive property

Answers

Answer:

x = -6

Step-by-step explanation:

I'm assuming you're solving for x

3/4 (4x + 8) = -12

you distribute the 3/4 to 4x and 8 so

3/4 times 4x = 3x

3/4 times 8 = 6

now looks like

3x + 6 = -12

3x = -12 - 6

3x = -18

x = -6

I need helppppp I forgot how to do this :(

Answers

a=associates / p=partners

1a= $800 / 1p= $1500

(6)a + (2)p = 800 x 6 + 1500 + 2 = $7800

(x)a + (y)p = $z

hope this helps :)

use the elimination method to solve the system of equations. choose the correct ordered pair x-y=2 2x+3y=14

Answers

Answer:

x = 4

y = 2

Step-by-step explanation:

x - y = 2

   x = 2 + y

2x + 3y = 14

  2(2 + y) + 3y = 14

  4 + 2y + 3y = 14

  4 + 5y = 14

  5y = 10

   y = 2

x - y = 2

  x - 2 = 2

  x = 4

Answer:

4,2

Step-by-step explanation:

How many solutions does the system have?

y= -5x - 1
y = -5.2 + 7

Answers

Answer:  y= -5x - 1

y = -5.2 + 7

Step-by-step explanation: y= -5x - 1 has 3.    y = -5.2 + 7  has 1


Explain WHY a rotation of 180° is the same as doing
reflection over the x-axis AND the y-axis?

Answers

The 180 degree acts like both a horizontal (y axis) and vertical (x axis) reflection in one action.Precisely. Although they appear similar at first,rotating a figure 180 degrees swaps the image left-to-right and top-to-bottom at once.

Hahshxnxjennshsne did. D d d s s d d d

Answers

Answer:

are you okay?

Step-by-step explanation:

Lines m and n are parallel 70° a с d n Find the missing angle measures Enter your answers in the boxes ​

Answers

A is 110, B is 70, C is 110, D is 70, G is 110, E is 110, and F is 70

Is it possible for two triangles to have the same side lengths but not be congruent?

Answers

When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.

What is the product? [-3 4 2 -5]x[3 -2 1 0]

Answers

Answer:

71829x

Step-by-step explanation:

Answer:

The correct answer is option A

Step-by-step explanation

You got this! keep going! :D

Translate the sentence six less than the product of four and a number is -2 into an equation

Answers

Answer:

4x - 6 = -2

Step-by-step explanation:

i dont really know how to explain this one

Answer:

[tex]4x-6=-2[/tex]

Step-by-step explanation:

So since it says 6 is less than that means we will be putting the 6 in front of the number that's going to be 4x because the product of 4 and x is shown by 4x. Then lastly it says all "is -2" that means all that equals -2.

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