In Sichuan, China, Bernards stands at the top of the Jinping-1 dam and measures the angle of depression down to where Benjamin is standing at 1999 feet from the base of the dam. If the angle of depression is 26.6 degrees, how tall is the dam? Round to the nearest foot.​

Answers

Answer 1

Answer:

This illustrates a right triangle.

Given:

a(height) = 2457 ft.

∠A = 22°23' ; which is the elevation and reflects the a(height)

Find:

b(base)

Solution:

Using the law of cosine, specifically tan∠ = opposite side÷adjacent side

By analysis, tan∠A = a÷b

Since we are finding b, the formula will be derived into:

b = a÷tan∠A

Find b(base):

b = 2457 ft. ÷ tan22°23' ; substituting the numbers

b ≈ 5,966.05 ft. ; Final Answer

Step-by-step explanation:


Related Questions

y Varies directly as the product of M and N and inversely as their
Sum. if y = 4, when N=2 and m= 1, What is the value of y when M=6
and N=5.​

Answers

Answer:

60

Step-by-step explanation:

i think its the answer because 2(5×6)

Which values are solutions to x < 10?​

Answers

Answer:

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, -1, -2, -3, -4, -5 (continous stream of negitive values)

Step-by-step explanation:

Probability of blue is 0.4 red 0.3 yellow 0.3 there are 30 blue cubes in box what total number of cubes in box

Answers

Answer:

75

Step-by-step explanation:

The computation of the total number of cubes in box is shown below:

Given that

The probability of blue = 0.4

For red it is 0.3

And, for yellow it is 0.3

As if there is 30 blue cubes in a box

So for red it is = 30 × 0.3 ÷ 0.4 = 22.5

And, for yellow = 30 × 0.3 ÷ 0.4 = 22.5

Now the total number of cubes in a box is

= 30 + 22.5 + 22.5

= 75

x-2.8y=-12, -x+5.3y=24.5

Answers

Answer:

(2,5)

.......

......

question in photo—————————-

Answers

Answer:

(-6,8)

Step-by-step explanation:

SANA NAKATULONG AKO

CORRECT ME IF I WRONG

Answer:

(-6, - 8)

Step-by-step explanation:

[tex]\begin{cases}y = x - 2....(1)\\ \\2x + 4 = y....(2)\end{cases} \\ \\ from \: equations \: (1) \: and \: (2) \\ \\ 2x + 4 = x - 2 \\ \\ 2x - x = - 2 - 4 \\ \\ x = - 6 \\ \\ y = - 6 - 2 \\ \\ y = - 8 \\ \\ (x \: \: y) = ( - 6 \: \: - 8)[/tex]

If in a stick of chalk, 3 gram is carbon, what is the weight of the chalk piece?

Answers

Answer: . Hence the weight of chalk stick is 25 g

Step-by-step explanation: Quantity of Carbon in chalk stick = 3 g Let the weight of chalk be x g. Hence the weight of chalk stick is 25 g

Solve. Can someone help me? I only have one try left
3(x−10)=−9

Answers

Answer:

x=7

Step-by-step explanation:

Answer: x=7

Step-by-step explanation:

3(x-10)=-9

3x-30=-9

3x-30+30=-9+30

3x=21

x=7

Mrs. Johnson gets her morning coffee. She can't decide which size to order. Which size is the better buy? Explain.

Small- 12 oz for $3.95

Medium- 16 oz for $4.25

Large- 20 oz for $4.55

Answers

Answer:

large

Step-by-step explanation:

3.95 divided by 12 = 0.33

4.25 divided by 16 = 0.27

4.55 divided by 20 = 0.2275

the 20oz is the least unit price

There are 828 calories in nine ounces of a certain ice cream. How many calories are there in one pound? before you solve the first question answer this one first.
How many ounces will you need to find the number of calories for?

Answers

mAnswer:

5

Step-by-step explanation:

yg b hmbbv

Pls help with finding slope and y intercept from 2 points‼️‼️❗️❗️❗️❗️

Answers

step 1: plot your points.

step 2: find the rise over run

step 3: place the rise over run in decimal form. say its 5 to the side and 2 up 2/5 (if it was a negative rise such as 2 down it would be -2/5)

step 4= find where it crosses the y line such ex: 0,8 it would be 8 (if it were negative it would be 0,-8: -8)

then put in y intercept form: y=2/5x+8

Solve for x. Round answer to the nearest tenth (0.1).

Answers

Answer:

x = 9.9

Step-by-step explanation:

This is a isosceles triangle, with sides measurements (1 , 1 , √2), and the angles being (45° - 45° - 90°). Note that the side measurements of 1 is opposite of that of a 45°, while the measurement of √2 is opposite of that of 90°.

In this case, multiply. The side measurement of 1 has 7.

1 x 7 = 7

In the same, you must multiply 7 with √2

x = 7 * √2 = 7√2.

√2 = ~1.414

7 x 1.414 = 9.898

Round to the nearest tenth:

9.898 rounded to the nearest tenth = 9.9

x = 9.9

~

Answer:

9.9 is your answer

Step-by-step explanation:

by using Pythagoras law

p²+b²=h²

7²+7²=x²

x=√{2×49)=7√2or 9.9 is your answer

18.5 ft, 6 ft, 17.5 ft

Answers

What is the question?

Answer:

yes, it is a right triangle.

Step-by-step explanation:

you could use the pythagorean theory to check:

[tex]a^{2} + b^{2} = c^{2}[/tex]

(the hypotenuse is the longest side)

[tex]17.5^{2} + 6^{2} = 18.5^{2}[/tex]

[tex]306.25 + 36 = 342.25[/tex]

[tex]342.25 = 342.25[/tex]

please I need help !​

Answers

Answer:

25

Step-by-step explanation:

Every number is subtracted 25

Answer:

25

Step-by-step explanation:

Every number is 25 apart.

Find all numbers whose absolute value is -7. If there is more than one, separate them with commas.

Answers

Absolute Value Is ALWAYS Positive. Therefore, the answer should be none.
None

Cause the absolute value doesn’t equal to negative number

One of the flags in front of the United Nations sits on a pole 80 feet tall and casts
a shadow 16 feet long. At the same time of the day, another flag casts a shadow
18 feet long. How high is the other flag?
HELPPPPP

Answers

Answer:

90 feet

Step-by-step explanation:

how many 2/5's are in 3

Answers

Answer:

7.5

Step-by-step explanation:

Divide 3 by 2/5

3 divided by 2/5 = 7.5

Answer:

7.5

Step-by-step explanation:

when you do 2/5 it = 0.4 then you do 3/0.4 and you get 7.5

Amy needs to buy 12 notebooks and a pack of pens from the store. The pack of pens cost $2.50 and she has a budget of $30. Which inequality represents the situation if a represents
the maximum amount she can spend on each notebook?
A 12.6 +2.50 > 30
B) 12 +2.50.3 < 30
C) 12. + 2.50 < 30
D 12 +2.50 < 30

Answers

I think it’s c, because if the . next to the 12 means x then yes. There should be an c near 12 because we have no clue how much the notebooks are. If the . doesn’t mean x then it should be d.

1. What is the prime factorization of 402? *
Your answer

Answers

Answer:

Step-by-step explanation:

Prime factorization requires dividing by primes starting with smallest prime number

402/2=201

201/3=67, 67 is prime so we cannot go further so the prime factorization of 402 is

2X3X67

a shopkeeper mixed 15.25 kg of hazelnuts with 4.75 kg of raisins. He packed the mixture equally into 5 boxes. What is the weight of each box?​

Answers

Answer:

4kg

15.25 + 4.75 = 20

20/5 = 4

Step-by-step explanation:

Answer:

4 kgs

thats the sum by 5

hope it helps

What is the slope of the line?
7
1
T
1
2
4
-le 0 1 0
-

Answers

Answer:

please add me on sñap

Step-by-step explanation:

arshad2623f

Answer:

1/2

Step-by-step explanation:

(-2,-1)(2,1)

m = 1-(-1) / 2-(-2)

m = 2/4 or 1/2

Help needed qwp!

The table shows information about the type and numbet of sandwiches ordered by 80 customers. If 120 customers order a sandwich, how many would you expect to order a club?​

Answers

the answer would be c. 54

f(x) = 3x - 3
g(x) = 4x + 5

find (f+g) (3)

Answers

Answer:

23

Step-by-step explanation:

(f + g)(3) = f(3) + g(3)

f(3) = 3(3) - 3 = 9 - 3 = 6

g(3) = 4(3) + 5 = 12 + 5 = 17

Then

(f + g)(3) = 6 + 17 = 23

calculate the volume of this cylinder, giving your answer to 1 decimal place 9cm height 20 cm length

Answers

Answer:

volume is approximately 286.03 cm

Step-by-step explanation:

please mark me brainliest.

(07.01)
Colton solved an equation incorrectly, as shown below:
Step 1: x - 13 = 26
Step 2: x = 26 - 13
Step 3: x = 39
Which statement best explains why Step 2 is incorrect in Colton's solution? (4
points)
He did not divide 26 by 13.
He did not multiply 26 by 13.
O He did not subtract 13 from 26.
He did not add 13 to 26.

Answers

Answer:

He didn't add 13 to 26

Step-by-step explanation:

he would need to add -13+13 to get rid of it. and add 13 on the other side 13+26

He added instead of subtracting. The answer is the first.

Joe is trying to solve the equation for x
3x – 7 = 30
What would be the best first step Joe could Make to solve the equation?
A. Divide 3X by 3
B. Divide both sides by 30
C. Subtract 7 from the left side of the equation
D. Add 7 to both sides of the equation

Answers

D add 7 your trying to get the variable.

Answer:

Step-by-step explanation:

D Add 7 to both sides

This makes it 3x=37

x=37/3

2/5+7/15 in its simplest form

Answers

Answer:

13/15

Step-by-step explanation:

First convert the fractions to have a common denominator

2/5 = x/15

Cross multiply

2 × 15 = 5 × x

30 = 5x

Divide both sides by 5 to isolate the variable

30 ÷ 5 = x

6 = x

Plug x into the new fraction

6/15

Now add this to the other fraction

6/15 + 7/15

Only add the numerators. The denominators will remain the same number

6 + 7 / 15

13/15

It cannot be reduced anymore so this is simplest form

what angle are they ​

Answers

i need points yk, plz give brainliest

Answer:

adjacent angles

Step-by-step explanation:

they dont make a straight line so they arent supplementary. they arent complementary because they dont make a right angle

4--9w^2
Can Someone help PLS

Answers

Answer:

Step-by-step explanation:

Use the identity: a² - b² = (a + b)(a- b)

4 - 9w² = 2² - (3w²)

            = (2 + 3w)(2 - 3w)

Someone help me please

Answers

Answer:

I need points so sorry i can't answer it :(

Step-by-step explanation:

Find the distance between each pair of points. simply the radicals no decimals (-12, 3) (-3, 15)

Answers

Answer:

15

Step-by-step explanation:

distance formula = square root of difference of y-values subtracted by difference of x-values

d = [tex]\sqrt{144+81}[/tex] = 15

Answer:

Step-by-step explanation:

d^2=dx^2+dy^2

d^2=(-3+12)^2+(15-3)^2

d^2=81+144

d^2=225

d=15

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