From a boat ont he lake, the angle of elevation to the top of a cliff is 11° 50'. If the base of the cliff is 1568 feet from the boat, how high is the cliff (to the nearest foot)

Answers

Answer 1

Answer:

328 feet

Step-by-step explanation:

From a boat ont he lake, the angle of elevation to the top of a cliff is 11° 50'. If the base of the cliff is 1568 feet from the boat, how high is the cliff (to the nearest foot)

Step 1

Note that

that 11°50' is just 11 degrees and 50 minutes

60 minutes = 1 degree,

thus 50 minutes = x degree

50/60 degrees

= 0.83°

Hence: 11°50' = 11.83°.

Step 2

We solve using Trigonometric function of tan

tan theta = Opposite/Adjacent

theta = 11.83°

Adjacent = 1568 feet

Opposite = Height of the cliff = x

tan 11.83° = x/1568

Cross Multiply

x = tan 11.83 × 1568

x = 328.429195 feet

Approximately = 328 feet

The height of the cliff is 328 feet


Related Questions

HELP PLEASE I NEED TO BRING UP MY GRADE!!!!!!!!!!!!!!!!

Answers

Answer:

c

Step-by-step explanation:

Answer: c

Step-by-step explanation:

Your dinner bill at Best Little Roadhouse was $68.24. You left the server an 18% tip. What was your final total bill including tip and How much of a tip did you leave the server

Answers

Answer:

The total would be $80.52. The tip was $12.28

Step-by-step explanation:

18% of 68.24 is 12.2832. I just rounded and called it 12.28. From there I just added it to 68.24 and got 80.52.

Please help will give Brain

Answers

Answer:

5

Step-by-step explanation:

3(x+3)=4(4+2)

3x+9=24

3x=15

x=5

Hope this helps :)

How much thermal energy is released when 269.8 grams of tungsten, with a specific heat of 0.134 J/g°C, cool to 20.56°C from 212.7°C?

Answers

JWNWNWNENENENNEE WBWHJWJWJWEJE. EEJENE ENENEBEBEJE

Figure B is a scaled copy of Figure A.

What is the scale factor from Figure A to Figure B?

Answers

Answer:

the answer is 4.5 in term of the measurement because Figure A has a larger scale and B has a smaller scale

Answer:

0.25

Step-by-step explanation:

Divide one side of Figure B by the congruent side of Figure A and you would get the scale factor.

If you multipy every side of figure A by 0.25 you would get the sides of figure B.

Hope this is helpful:)

Find the slope of the line that contains the I
point (4, -9) and has a y intercept of 2.

Answers

Answer:

-11/4

Step-by-step explanation:

The y intercept has the coordinates of (0,2)

We have two points (0,2) and (4,-9) so we can find the slope using

m= (y2-y1)/(x2-x1)

   = ( -9-2)/(4-0)

   = -11/4

Answer:

-11/4

Step-by-step explanation:

y = mx + c

Point (x,y)

intercept c

slope m

-9 = m(4) + 2

-9 = 4m + 2

make m the subject of the formula

4m = -9-2

4m = -11

divide both sides by 4

m = -11/4

Can someone help me with this??

Answers

Answer:

A

Step-by-step explanation:

When dilating an object, you multiply the x and y values by whatever scale you want to dilate the object by. It cannot be C because 2/5 is less than 1, which means that the object would shrink. So the answer must be A

What is the equation of a circle with the center (2,3) that passes through the point (5,3)

Answers

I don’t understand your question, can you go into more detail please

The given center and point on the circle of (2, 3), and (5, 3), respectively

gives the equation of the circle as; [tex]\underline{(x - 2)^2 + (y - 3)^2 = 3^2}[/tex].

How can the equation of the circle be found?

The general form of the equation of the circle is presented as follows;

(x - h)² + (y - k)² = r²

Where;

(h, k) = The center of the circle

r = The radius of the circle

Which gives;

(h, k) = (2, 3)

h = 2

k = 3

r = √((5 - 2)² + (3 - 3)²) = 3

The equation of the circle is therefore;

[tex]\underline{(x - 2)^2 + (y - 3)^2 = 3^2}[/tex]

Learn more about the equation of a circle here:

https://brainly.com/question/502872

PLS HELP! TELL ME HOW TO DO IT!

Answers

Use the formula A=pi r^2

It takes 313131 employees and \$7500$7500dollar sign, 7500 to build a car, and it takes 191919 employees and \$4300$4300dollar sign, 4300 to build a motorcycle. Genghis Motors wants to spend more than \$84000$84000dollar sign, 84000 to build cars and motorbikes using at most 706706706 employees.

Answers

Complete question :

It takes 313131 employees and \$7500$7500dollar sign, 7500 to build a car, and it takes 191919 employees and \$4300$4300dollar sign, 4300 to build a motorcycle. Genghis Motors wants to spend more than \$84000$84000dollar sign, 84000 to build cars and motorbikes using at most 706706706 employees. Let CCC denote the number of cars they build and MMM the number of motorbikes they build. Write an inequality that represents the condition based on the number of employees. Write an inequality that represents the condition based on the number of dollars.

Answer:

31C + 19M ≤ 706

7500C + 4300M > 84000

Step-by-step explanation:

C = number of cars built

M = number of motorcycles built

Cost of building a car :

Cost = 31 + $7500

Cost of building a motorcycle,:

Cost = 19 + 4300

To build, C cars :

Number of employees = 31C

7500 * C = 7500C

To build, M motorcycles :

Number of employees = 19M

4300 * M = 4300M

Genghis budget :

Amount > 84000

Number of employees ≤ 706

Hence, the constraints

31C + 19M ≤ 706

7500C + 4300M > 84000

Sue has 100dimes and quarters. If the total value of the coins is $21.40, how many of each kind of coin does she have.

Answers

84 quarters and 4 dimes

A snake slithers 25 km toward its prey in 30 minutes. what is the average speed (in km/hr) of the snake?

Answers

Answer:

Speed=Distance÷time

speed=25km÷0.5hour=50km/h

Step-by-step explanation:

First you must convert minutes to hours (divide by60/ (÷60) ) to get 0.5

30÷60=0.5hours

john has 19 cookies aailyah has 89 cooking how many do they both have

Answers

Answer:

108 cookies total

Step-by-step explanation:

19+89=108

Answer:

108

Step-by-step explanation:

Good Luck!

HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!! BRAINLIEST!!

Answers

Step-by-step explanation:

x = 24

Quadrilateral:

We have 94° + 41° + a + b.

Using 111°, we can do 180 - 111 and get 69°.

Now, we have 94° + 41° + 69° + b.

A quadrilateral's angles will equal 360°.

94 + 41 + 69 + b = 360°

204 + b = 360°

b = 156

Triangle:

Now, we can do 180 - 156 to find x.

x = 24

Hope this was helpful!

Which expression is a cube root of -1 + i sqrt 3

Answers

Answer:

c

Step-by-step explanation:

Answer:

I think A or C

Step-by-step explanation: hope this was helpful


Question

15 + 24 = ?

Answer
and
Explanation

Answers

15 + 24=39
All you are doing is adding 15 and 24 together making 39.

Answer:

39

Step-by-step explanation:

15 + 24 =39

since they are like terms so we can add or subtract

A large bag of rice weighs 12 pounds 4 ounces. After Malcolm uses some rice in a casserole, the bag weighs 8 pounds 11 ounces. What is the weight of the rice Malcolm used in the casserole?

Answers

I think it’s 3 pounds 3 ounces. 12.4-9.1 (8.11)

Answer:

Malcom used 3 pounds and 3 ounces of rice in the casserole

can someone help with math please. asap (file attached :)

Answers

30° = 0.52

150° = 2.68

-220° = -3.34

The total value of the coins is 3.88. Anita has 4 more nickels than pennies and 2 more than 4 times the number of quarters than pennies. How many of which coins does she have?

Answers

Answer:

See explanations below

Step-by-step explanation:

Let the amount of nickel be x

Let the amount of pennies be y

Let the amount of quarters be z

If the the total value of the coins is 3.88, then;

x+y+z = 3.88 .... 1

If Anita has 4 more nickels than pennies, then;

x = y + 4 ... 2

If she has 2 more than 4 times the number of quarters than pennies, then;

y = 2 + 4z

4z = y-2

z = (y-2)/4 ...3

Substitute 2 and 3 into 1

y+4+y+(y-2)/4 = 3.88

4y+16+4y + y-2 = 15.52

9y + 14 = 15.52

9y = 15.52 - 14

9y = 1.52

y = 1.52/9

y = 0.17

Since x = y + 4

x = 0.17+4

x  = 4.17

z = y-2/4

z = 0.17-2/4

z = -1.83/4

z = - 0.46

HELP ASAP. solve for x

Answers

Answer:

x = 25

Step-by-step explanation:

The triangle is isosceles, therefore, the base angles are the same

62 + 2x + 9 + 2x + 9 = 180

62 + 4x + 18 = 180

4x = 180 - 62 - 18

4x = 100

x = 100/4

x = 25

What is 74% of 44.I appreciate your help

Answers

Answer:

32.56

Step-by-step explanation:

Dylan has 0.5 liters of water. He needs to find out how many milliliters of water he has so he can complete his science experiment. How many milliliters (mL) of water does Dylan have

Answers

Answer:

500 milliliters

Step-by-step explanation:

Dylan has 0.5 liters of water. He needs to find out how many milliliters of water he has so he can complete his science experiment. How many milliliters (mL) of water does Dylan have

1 liter of water = 1000 milliliters of water

0.5 liters of water = x

Cross Multiply

x = 0.5 × 1000 milliliters of water

x = 500 milliliters of water

Therefore, Dylan has 500 milliliters of water

Answer:

answer

Step-by-step explanation:

Answer:

500 milliliters

Step-by-step explanation:

Dylan has 0.5 liters of water. He needs to find out how many milliliters of water he has so he can complete his science experiment. How many milliliters (mL) of water does Dylan have

1 liter of water = 1000 milliliters of water

0.5 liters of water = x

Cross Multiply

x = 0.5 × 1000 milliliters of water

x = 500 milliliters of water

Therefore, Dylan has 500 milliliters of water

pls help no wrong answers pls

Answers

Answer:

a, b, e

Step-by-step explanation:

It is proportional since it goes at the same rate on the x and y

It has a rate of 8.5 since 17/2=8.5

at the rate of 8.5 y per one x then 4 8.5's would make 34

To make the graph put a dot at
(1, 8.5)
Because...
Y=8.5(1)
Y=8.5
And another one at....
(-1, -8.5)
Because....
Y=8.5(-1)
Y=-8.5
And the mutely choice answers is...
A)
It’s true since it goes though the origin
B)
Unit rate if change is slope and it is
B is true
C)
In b, we identified the slope so this can’t be true
D)

It states x=17 and y=2
So...
Y=8.5(17
Y.>2
D is not true
E)
It states x=4 and y=34
So...
Y=8.5(4)
Y=34 which is true
e is true

-2(4x+3y)+17x+5y-8z helppp

Answers

Step-by-step explanation:

Solution

9 − − 8

Answer:

The answer is 9x - y - 8z.

Step-by-step explanation:

1) Expand by distributing terms.

[tex] - (8x + 6y) + 17x + 5y - 8z[/tex]

2) Remove parentheses.

[tex] - 8x + 6y + 17x + 5y - 8z[/tex]

3) Collect like terms.

[tex]( - 8x + 17x) + ( - 6y + 5y) - 8z[/tex]

4) Simplify.

[tex]9x - y - 8z[/tex]

Therefor, the answer is 9x - y - 8z.

In ΔGHI, the measure of ∠I=90°, the measure of ∠G=76°, and IG = 6.2 feet. Find the length of HI to the nearest tenth of a foot.

Answers

Answer: 24.9

Step-by-step explanation:

6.2 tan(76) = 24.86

Answer:

the answer is 24.9

Step-by-step explanation:

what is the distance

Answers

Answer:

A) 10 units

Step-by-step explanation:

distance formula:

d=the square root of (x2-x1)^2 + (y2-y1)^2

(-5,4)

(3,-2)

d=the square root of (3-[-5])^2 + (-2-4)^2

d=the square root of 64+36

d=the square root of 100

d=10

Please answer this quickly

Answers

9. I’m pretty sure is 0 degrees

10. I’m pretty sure it’s a binomial

Hope this helps!!
Btw: I’m in Alg. 1 rn, and it seems like u r too, if u ever wanna work together I’d be happy to help, if not, thats cool too, have a great day!!

WILL GIVE BRAINLIEST

Answers

Answer:

the answer is D!

Step-by-step explanation:

y=60x+30 aka 210=60(3)+30

y=70x aka 210=70(3)


Order the ANGLES in each triangle from LARGEST to smallest.

Answers

Answer:

y,z,x

Step-by-step explanation:

6m - 3k when k=2 and m=7

Answers

Answer:

36

Step-by-step explanation:

put in the values of m and m first then solve:

6•7= 42

3•2= 6

42-6= 36

hope this helps have a great day luv <3

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