While traveling across flat land, you notice a mountain directly in front of you. The angle of elevation to the peak is 1.5°. After you drive 23 miles closer to the mountain, the angle of elevation is 13°. Approximate the height of the mountain.​

Answers

Answer 1

Answer:

0.68 miles

Step-by-step explanation:

Let's say that the height of the mountain is h

The distance between the mountain and the car, after moving 23 miles closer to the mountain, will be x (let's pose it as x for now)

tan(1.5°) = opposite/adjacent = h/23 + a

=> h = (23 + a)tan(1.5°) ---- (1)

tan(13°) = h/a

=> h = a(tan(13°)) ---- (2)

Now since h is common among the two equations, we can equate them;

[tex]\left(23+a\right)\tan \left(1.5^{\circ \:}\right)=a\left(\tan \left(13^{\circ \:}\right)\right),\\23\tan \left(1.5^{\circ \:}\right)+\tan \left(1.5^{\circ \:}\right)a=\tan \left(13^{\circ \:}\right)a,\\\\\tan \left(1.5^{\circ \:}\right)a-\tan \left(13^{\circ \:}\right)a=-23\tan \left(1.5^{\circ \:}\right),\\\left(\tan \left(1.5^{\circ \:}\right)-\tan \left(13^{\circ \:}\right)\right)a=-23\tan \left(1.5^{\circ \:}\right),\\\\[/tex]

[tex]a=\frac{23\tan \left(1.5^{\circ \:}\right)}{\tan \left(13^{\circ \:}\right)-\tan \left(1.5^{\circ \:}\right)} = 2.94249...[/tex]

[tex]h = 2.94249tan\left(13^{\circ }\right) = 0.67932\dots[/tex]

The height of the mountain ≈ 0.68 miles


Related Questions

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Answer:

1 or 1/1

Step-by-step explanation:

Hope this helps:)

What are prime factors of 100

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2x2x5x5 or 2^2*5^5 hope this helps!

Can someone help me?

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Answer:

C. -36 3/10

Step-by-step explanation:

4 2/5 = 22/5

22/5 = 4.4

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Have a great day :3

For questions 5-7 in the diagram below, AB is parallel to CD. Use the diagram to find the unknown angles

Answers

x = 180-40= 140

y = 40

z= 40

Answer:

Z=40°

Y=40° I think

Determine the midpoint of the line segment whose endpoints are (12, 8) and (−8, −6).
Write your answer as an ordered pair.

Answers

Answer:

(2, 1)

Step-by-step explanation:

Given points

(12, 8) and (−8, −6)

Midpoint is

((12 - 8)/2, (8 - 6)/2) =(4/2, 2/2) =(2, 1)

-3x + 8 + 15 if x = -2

Answers

Answer:

29

Step-by-step explanation:

-3x+8+15 .substitute

-3(-2)+8+15 combine like terms

6+23 add

29

At the beginning of the day, it was -14 degrees. Throughout the day, the temperature increased 16 degrees. What was the temperature (in degrees) at the end of the day? At the beginning of the day, it was -14 degrees. Throughout the day, the temperature increased 16 degrees. What was the temperature (in degrees) at the end of the day?

Answers

Answer:

The temperature at the end of the day is 2 degrees

Step-by-step explanation:

Here, we are interested in calculating the temperature at the end of the day.

In the question, we are told that at the beginning of the day, temperature was -14 degrees.

But throughout the day, the temperature increased by 16 degrees;

Thus, the temperature at the end of the day = -14 degrees + 16 degrees = 2 degrees

The area of a blackboard is 1 1⁄3 square yards. A poster’s area is 8⁄9 square yards. Find the unit rate and explain, in words, what the unit rate means in the context of this problem. Is there more than one unit rate that can be calculated? How do you know?

Answers

Answer:

Unit rate of area of blackboard to area of poster = 8/33

Unit rate of area of Poster to area of blackboard = 33/8

The number of copies made each week by teachers at Langley High School follows a bell-shaped distribution with a mean of 550 copies and standard deviation of 185 copies. Mr Thomas Made 782 copies last week. His z-score is at 1.25. Which of the following statements is best interpret his value

Answers

Answer:

it should be 300

Step-by-step explanation:

Answer:

The number of copies Mr. Thomas made is 1.25 standard deviations more than the mean number of copies of teachers at Lamley High School.

Step-by-step explanation:

Find the magnitude of 6+2i.

Answers

Do you have the answer yet

40 calls in 20 hours=__calls in 10 hours

I have my answer my mom said its right my dad said its wrong what do u smart people think

Answers

Answer:  20 calls

Explanation: This is because since 40 is half of 20, you would need to divide by 2 to get 10. If you convert the division to multiplication, 10 * 2 = 20. So, the answer would be 20 calls.

Idk what to write. Just come look if you have a heart and pity for me

Answers

Answer:

the answer is 4 It's hard to explain in though

im so stoopid i need help right now please

Answers

Answer:

QPR=31°

Step-by-step explanation:

if the whole thing is 47 degrees

47=3x-38+7x-95

I           I        I

total  RPS   QPR

now you solve this equasion

x=18

if x=18 and you are trying to find QPR

QPR=7x-95

QPR=7(18)-95

QPR=31

What is the slope-intercept equation of the line below.

Answers

Answer:

D

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainliest!

Answer:

The answer is d. Hope it helps

Write a function that makes the following true: f(5) = 10
*i got f(x)= 2x which is correct*

Solve your function when
f(x) = 5. *I need the answer for this*

Answers

Answer as a fraction:  x = 5/2

Answer in decimal form:   x = 2.5

=====================================================

Explanation:

Replace f(x) with 5

So we go from f(x) = 2x to 5 = 2x

Now isolate x. We do so by dividing both sides by 2 (this undoes the multiplication of 2 on x)

So we get

5 = 2x

5/2 = 2x/2 ... divide both sides by 2

5/2 = x

x = 5/2

x = 2.5

The double number line shows that 5 pounds of avocados cost $9.



Based on the ratio shown in the double number line, what is the cost for 1 pound of avocados?

Answers

$9 divided by 5 = 1.8

A pound of avocados is $1.80

whAt is the equation of the linr with a slope of 6 and y -intercept of -2

Answers

slope: 6
y int: -2


y=6x-2

The table shows the proportional relationship of the colors in Molly’s garden.

A 2-column table with 4 rows. Column 1 is labeled White (x) with entries 12, 24, 36, 48. Column 2 is labeled Pink (y) with entries 18, 36, 54, 72.

Complete the next ordered pair so Molly knows how many white flowers she needs for 5 rows.

Ordered pairs: (36, 54), (48, 72), (
, 90)

Answers

Answer:

The correct answer is 60

Step-by-step explanation:

on edge :)

Answer:

Guy above is correct

Step-by-step explanation:

What’s 3+1 1/7 divided by 13/10?

Answers

Answer:

The answer is 8.769

...

Answer:

[tex]\frac{114}{13}[/tex] or 8 [tex]\frac{10}{13}[/tex]

Step-by-step explanation:

1) Convert the mixed numbers to improper fractions

3+ [tex]\frac{15}{2}[/tex] ÷ [tex]\frac{13}{10}[/tex]

2) To divide by a fraction, multiply by the reciprocal of that fraction

3+[tex]\frac{15}{2}[/tex] × [tex]\frac{10}{3}[/tex]

3) Reduce the numbers with the greatest common factor 2

3 + 15 ×[tex]\frac{5}{13}[/tex]

4) Calculate the product

3 + [tex]\frac{75}{13}[/tex]

5) Calculate the sum

[tex]\frac{114}{13}[/tex] = 8 [tex]\frac{10}{13}[/tex]

A photo frame in the shape of a quadrilateral has one diagonal longer than the other. Is it a Rectangle? Why
or why not?
Find the value of ‘x’ from the given

Answers

Answer:

80°

Step-by-step explanation:

A rectangle has same opposite sides and 4 right angles as property of a rectangle.

The photo frame has different diagonal lengths

It makes opposite sides different, therefore it is not a rectangle

Given angles (x - 20) and (x + 40) are consecutive interior angles which add up to 180°

x - 20° + x + 40° = 180°2x + 20° = 180°2x = 160°x = 80°

Simplify the expression.
−23(12c−9)+14c =

Answers

Answer is -262c + 207

1. -23(12c) -23 * -9 + 14c ( Apply the distributive property)
2. -276c -23 * -9 + 14c ( Multiply 12 by -23)
3. -276c + 207 + 14c
4. Add) -276c and 14c
-262c +207

The simplification of the expression would be equal to -262c +207.

An equation is defined as an expression which shows the relationship between two or more numbers, variables, and a mathematical equation is a statement with two equal sides and an equal sign in between.

We are given the expression  as;

−23(12c−9)+14c =

Now ;

-23(12c) -23 * -9 + 14c

Now Apply the distributive property;

2. -276c -23 * -9 + 14c

Then Multiply 12 by -23

-276c + 207 + 14c

Add -276c and 14c

-262c +207

The answer is -262c +207

Learn more about equations here;

brainly.com/question/25180086

#SPJ6

Selena made pancakes for an all day breakfast fundraiser event she made 132 pancakes in 4 hours Selena used 44 cups of pancake batter to make 132 pancakes if Selena continues to make the same number of pancakes per cup of batter how many cups of batter will Selena use to make an additional 264 pancakes

Answers

Answer:

88 cups of batter

Step-by-step explanation:

We are told from the the question: Selena used:

132 pancakes was made from = 44 cups of pancake batter

how many cups of batter will Selena use to make an additional 264 pancakes?

132 pancakes = 44 cups of pancake batter

264 pancakes = ??

Cross Multiply

= 264 × 44/132

= 11616 / 132

= 88 cups of pancake batter.

Therefore, selena would be needing 8( cups of pancake butter to make an additional 264 pancakes.

Answer:

88

Step-by-step explanation:

If 3x x 10=22, what is the value of 5x +8?

Answers

Step-by-step explanation:

3x x 10 = 22

3x x 10 - 10 = 22 - 10

3x = 12

3x ÷ 3 = 12 ÷ 3

x = 4

5x + 8

5(4) + 8

20 + 8

28

What are these numbers from least to greatest? 5.78, -5.9, 58%, -23/4

Answers

Answer:

-5.9, -23/4, 58%, 5.78

Answer:

-5.9, 23/4, 58%, 5.78

Step-by-step explanation:

The first number should be lesser than the second number. If the numbers are arranged from the greatest to the least.

If m RSU=103° and m UST=62°. Find m RST​

Answers

Answer:

The measure of angle RST= 165°

Step-by-step explanation:

To find this answer, you simply have to add the measure of angle RSU to the measure of angle UST.

10 points for the answer
Convert 812 centimeters to meters.

m

Answers

Answer:

812 to 8.12

Step-by-step explanation:

(a2– 6a – 8) + (7a² + a +3)

Answers

Answer:

8a² - 5a - 5

Step-by-step explanation:

Step 1: Define

(a² - 6a - 8) + (7a² + a + 3)

Step 2: Combine like terms

8a² - 5a - 5

Ariel bought a cake and cut it into sections of 1 3to serve 3 people. She now wants to create smaller pieces so that she can serve each person 3 pieces. Create a fraction equal to 1 3that would give everyone the same amount of cake but in 3 pieces.

Answers

Answer:

Fraction = ⅓

Step-by-step explanation:

Given.

Sections = 3

Required

What fraction divides the fraction into 3 equal part

Given that there's only one cake and it's for 3 people .

The fraction for each individual is calculated as follows:.

Fraction = ⅓ * 1 cake

Fraction ,= ⅓ of the cake

Hence:

Each individual will get ⅓ of the cake

For the equation y = 5x + 4 , determine the value of y wher x = 3

Answers

Answer

y=19

Explnation

y=5x+4 your going want to plug in 3 to the x spot

y=5*3+4 The using your order of operations solve (remember PEMDAS)

y=15+4

y=19  

CAN I GET BRANLIEST ANSWER PLEASE

The answer is 19
The work is 5(3)+4=19

What time will it be 2 hours and 5 minutes after the time shown?

Answers

Answer:

5:45

Step-by-step explanation:

This is the answer because:

1) 3:40 - 4:40 and 4:40 - 5:40 (this is two hours past 3:40)

2) Next, just add five minutes which is 5:45

Hope this helps! :D

the clock shows the time 3:40
2 hours from 3:40 would be 5:40
5 minutes from 5:40 would make it 5:45

so: 2 hours and 5 minutes from 3:40 is 5:45
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