James and Padma are on opposite sides of a 100-ft-wide canyon. James sees a bear at an angle of depression of 45 degrees. Padma sees the same bear at an angle of depression of 65 degrees.

​​What is the approximate distance, in feet, between Padma and the bear?

A

21.2ft

B

75.2ft

C

96.4ft

D

171.6ft

Answers

Answer 1
the anwser is A thank you
Answer 2

The approximate distance, in feet, between Padma and the bear will be 75.2 feet. Then the correct option is B.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

James and Padma are on inverse sides of a 100-broad gulch. James sees a bear at a point of discouragement of 45 degrees. Padma sees a similar bear at a point of discouragement of 65 degrees.

Let 'x' be the horizontal distance from bear to Padma. Then the equation is given as,

(tan 45°) (100 - x) = (tan 65°) x

100 - x = 2.1445x

100 = 3.1445x

x = 31.80 feet

Then the approximate distance, in feet, between Padma and the bear will be given as,

cos 65° = 31.80 / d

d = 75.2487

d ≈ 75.2 feet

The approximate distance will be 75.2 feet. Then the correct option is B.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

#SPJ5


Related Questions

2. What is the value of win this equation?
5w+ 3 = 9

Answers

Answer:

w = 1.2 or 6/5

Step-by-step explanation:

math

Use your calculator to find the trigonometric ratio sin 79°

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Answer:

0.982

Step-by-step explanation:

Use your calculator to find the trigonometric ratio sin 79°

Answer: 0.982

Function A and Function B given below are linear functions, which statement is
true?

Answers

Answer:

a

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Slope Formula: Y2 - Y1/ X2 - X1

Function A: 15 + 25/ 4 + 4 = 5; Slope = 5

Function B: 4 - 2/ 3-2 = 2; Slope = 2

The slope of Function A is greater than the slope of Function B.

Write the slope-intercept form of the line of the equation below.

5x+6y=−18

Answers

Y=mx+ b and turn the equatin to that form is gonna be gimme a minute ima solve it on paper rq i promise ill answer

look at the screenshot.

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Answer:

25

Step-by-step explanation:

ok. ...jsjsjsjsjsjankaOOoOoakjzjkzkzkzkzkz

Answer:

30 / 5 x 2 - 2 = 10

Step-by-step explanation:

Parralel lines cut by a transversal coloring activity. Please give explanation. Will give brainiest.

Answers

Step-by-step explanation: Do You Want Me To Find All The Values ?

Parallel lines intersected by a common transversal form 8 angles

The required values of y and x are;

5. y = 42°6. y = 29.5°7. y = 9°8. y = 14°9. y = 31°10. x = 20°11. x = 13°12. y = 39°

The reasons why the above values are correct are given as follows:

Given the lines are parallel lines cut by a common transversal, we have;

Angles with measure (2·y - 1)° and (9·x - 38)° are same side interior angles

Angles with measure (4·x + 23)° and (2·y - 1)° are alternate interior angles

Which gives;

(2·y - 1)°+ (9·x - 38)° = 180°...(1)

(4·x + 23)° = (2·y - 1)°...(2)

From equation (1), we get;

y = 109.5 - 4.5·x

From equation (2), we get;

y = 2·x + 12

The common solution is given by; 109.5 - 4.5·x = 2·x + 12

From 109.5 - 4.5·x = 2·x + 12, we get;

x = 15,  

y = 42°

6) (9·x + 42)° and 15·x° are vertical angles, and therefore are equal

(9·x + 42)° = 15·x°

∴ x = 7

(4·y - 13)° and (9·x + 42)° are supplementary, therefore

(4·y - 13)° = (9·x + 42)°, which gives;

(4·y - 13)° = (9×7 + 42)° = 105°

y = 29.5°

7) (3x + 11) + (x + 21) = 180

∴ x = 37

(14·y - 4)° = 3x + 11 = 3 × 37 + 11 = 122°

y = 9°

8) (13·x - 33) = 10·x

∴ x = 11

10·x + 5·y = 180

10 × 11 + 5·y = 180

[tex]y = \dfrac{70^{\circ}}{5} = 14^{\circ}[/tex]

y = 14°

9) (27·x + 4) + (8·x + 1) = 180

∴ x = 5

y + 10 = 8·x + 1 = 8 × 5 + 1 = 41

y = 41 - 10 = 31

y = 31°

10) 16·x - 4 = 9·x - 6 + 58 = 9·x + 52

7·x = 56

x = 8

11) (6·x - 58)° + (x + 8)° = 90°

7·x - 50 = 90

7·x = 90 + 50 = 140

[tex]x = \dfrac{140}{7} = 20[/tex]

x = 20°

12) 7·x - 7 = 3·x + 45°

4·x = 52

[tex]x = \dfrac{52}{4} = 13[/tex]

x = 13°

(3·x + 45)° + 63° + (y - 6)° = 180°

(3×13 + 45)° + 63° + (y - 6)° = 180°

147 + (y - 6)° = 180°

y = 39°

Learn more about the angles formed between parallel lines here:

https://brainly.com/question/17477121

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I really need the help

y>_ -5
y- 1 < 3x

Answers

Answer:

C

Step-by-step explanation:

A cylinder with radius 6 cm and height h cm has the same volume as a sphere with radius 4.5cm
Find the value of h.
(The volume, V, of a sphere with radius r is V=4/3pie r^3)

Answers

Answer:

h = 4.22 cm

Step-by-step explanation:

Mathematically, we have the volume of a cylinder as;

V = pie * r^2 * h

We have it that the radius is 6 cm

V = pie * 6^2 * h

for the sphere, we have it that;

V = 4/3 * pie * r^3

V = 4/3 * pie * 4.5^3

We can proceed to equate both volumes;

pie * 6^2 * h = 5/3 * pie * 4.5^3

pie on both sides cancel out

6^2h = 5/3 * 4.5^3

36h = 151.875

h = 151.875/36

h = 4.22 cm

the solution set of 4x-(x+7)=2(x+3)​

Answers

Step-by-step explanation:

To Solve:-

[tex]\\ \tt{:}\leadsto 4x-(x+7)=2(x+3)[/tex]

SOLUTION:-

[tex]\\ \tt{:}\leadsto 4x-(x+7)=2(x+3)[/tex]

[tex]\\ \tt{:}\leadsto 4x-x-7=2x+6[/tex]

[tex]\\ \tt{:}\leadsto 3x-7=2x+6[/tex]

[tex]\\ \tt{:}\leadsto 3x-2x=6+7[/tex]

[tex]\\ \tt{:}\leadsto x=13[/tex]

Plzzzzz help i'm in desprate need of help with this

Answers

Answer:

Obtuse

Step-by-step explanation:

Right = has angle measure of 90°

Acute = has angle measure less than 90°

Equilateral = 2 or more angles whose angle measures are congruent to others

Circle = measures 360°

Obtuse = Angle measure greater than 90° and less than 180°

Hope this helps!

What is the solution for x in the equation?

-4 + 5x − 7 = 10 + 3x − 2x

a. 4/21
b. 21/4
c. 4/13
d. 13/4

Answers

The answer would be B 21/4
B. 21/4 because -4+ 5x - 7 = 10

The new Bamo Super Ball has a rebound ratio of 0.97. If you dropped the ball from a
height of 125 feet, how high will it bounce on the tenth bounce?

Please help thank you!!

Answers

Answer:

92.18 feet

Step-by-step explanation:

t(n)=125(.97)^x

t(10)=124(.97)^10

Sequence cant have partial or discrete bounce

Answer:

92.18 ft

Step-by-step explanation:

The rebound ratio 0.97 means the ball will rebound 97% of its height on the previous bounce.

Bounce    Height

1                125(0.97) = 121.25

2               125(0.97)(0.97) = 117.6125

3               125(0.97)(0.97)(0.97) = 114.084125

See a pattern?

Bounce     Height

1                125(0.97)

2               125(0.97)^2

3               125(0.97)^3    the exponent matches the bounce number

Tenth bounce:

10             125(0.97)^10 = 92.18 (rounded to 2 places)

50 POINTS!! Geometry!!

Answers

Answer:

Step-by-step explanation:

since RS || VU   ( parallel to )   then the angle V is equal to ∠ VRS , also we are given that ∠VRT = 71°  so subtract  ∠VRT from ∠VRS

103° - 71° = 32°

so ∠TRS = 32°

next find ∠U,  we know that ∠U + ∠VRT= 180°  ( b/c they are supplementary )

we are also told that  ∠VRT = 71°

∠U = 180 - 71

∠U = 109°

Since RS || VU (parallel to) then the angle V is equal to VRS, also we are given that VRT = 71°

So subtract VRT from VRS,

103° -71° = 32°

So, TRS = 32°

next find U, we know that ZU + ZVRT= 180° (b/c they are supplementary)

We are also told that <VRT = 71"

U = 180° - 71°

U = 109° is the answer.

Look at this shape: which image shows a rotation? I DO NOT WANT A LINK I WANT A REAL ANSWER!!!!!!!

Answers

Answer:

I think it's A. I'm not 100% sure but I'm pretty sure

5. Find dy/dx of
of the following
the following functions
y²= 4ax

Answers

Answer:

A general rule for functions of the general form:

y = A*x^n

is:

dy/dx =  n*A*x^(n - 1)

Then, for the function:

y^2 = 4*a*x

Then we can rewrite this as:

y = (4*a*x)^(1/2) = √(4*a)*x^(1/2)

Then we have:

A = √(4*a)

n = 1/2

Now we can use the above rule to get

dy/dx = (1/2)*√(4*a)*x^(1/2 - 1)

dy/dx = (1/2)*√(4*a)*x^(-1/2)

dy/dx = (1/2)*√(4*a/x)

dy/dx = √(1/4)*√(4*a/x)

dy/dx = √( (1/4)*4*a/x)

dy/dx = √(a/x)

The telephone company made this table to show the number of telephones in the homes they surveyed: Phones in home o 1 2 34 or more Number of homes7|33 56 42 If these homes are representative of the community of 100,000 homes that the company serves, about how many homes would you predict have 4 or more 12 telephones?​

Answers

his helps!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

answer: 24,000

Answer:20,000

Step-by-step explanation:

Find the AREA of the triangle below. Round your answer to the nearest tenth. I sad 15 I am not sure if its correct

Answers

Answer:

11 sq. units

Step-by-step explanation:

Find the area of the rectangle first, then find the area of the three white triangles.

Area of the rectangle

= 6×5

= 30 sq. units

Total area of the three white triangles

= (4×5)÷2 + (2×3)÷2 + (6×2)÷2

= 19 sq. units

The area of the rectangle minus the total area of white triangles:

Area of the green triangle

= 30-19

= 11 sq. units

how do i solve [tex]2x^{5} y -3x^{2} y

Answers

u can use the math version i think

What are the solutions of the equation 12 + 15 - 79?

Answers

The answer is negative 52

1
What is the radius of a circle with circumference 17 mm? Round to the nearest tenth. Use 3.14 for TT.

Answers

Answer: 2.7mm

Step-by-step explanation:

The formula for the circumference of a circle is given as 2πr. In thkw case, thw circumference is 17mm.

Therefore, 2πr = 17

2 × 3.14 × r = 17

6.28r = 17

r = 17/6.28

r = 2.7mm

Therefore the radius of the circle is 2.7mm

A figure is broken into a rectangle and a triangle. The triangle has a base of 8 inches and a height of 6 inches. The rectangle has a base of 8 inches and a height of 4 inches.
This figure was broken into a triangle and a rectangle as shown.

The base of the triangle b is
inches.

Answers

Answer:

triangle area = 24

rectangle areea = 32

figure area = 56

Step-by-step explanation:

Answer: The answer is 8

Step-by-step explanation:

Have a good day and stay safe out there! <3

i need help with this and pleases explain this its due today

Answers

Answer:

1. x= 20/3 or 6.6666 repeating

2. x=3

3. a=39

Step-by-step explanation:

1. subtract 25 by 5 to get 20, then divide 20 by 3 to get x

2. divide 7 by 21 to get x

3. add 8 to 31 to get a equals 39

Answer:

x = 6.6 repeating 7

Step-by-step explanation:

subtract 5 on both sides

ur left with 3x = 20

divide by 3 on both sides

Which of the following is an equation of a line parallel to the equation y = 1x +1? 2 O A. y = -2x-5 O B. y = 2x-5 2. C. y=-1X-5 C. y=- O D. y = 12 x - 5​

Answers

Answer:  B. y = 2x-5  is your answer hope this helped

plz make brainly

Step-by-step explanation:

En un parc que ocupa una superfície rectangular s'han construït un camí que el travessa en diagonal. Si les dimensions del parc son 3 km i 1,5 km, quina longitud té el camí?

Answers

Could you translate it to English in the comments so I could better understand what your asking :)

Mathematics Mathematics, 29.12.2020 18:30, lame3245 a grandfather is nine times older than his granddaughter. In 8 years the grandfather will be five times older than his granddaughter how old is each of them now?

Answers

Answer:

Granddaughter = 8

Grandfather = 72

Step-by-step explanation:

Let :

Granddaughter's age = x

Grandfather's age = y

y = 9x

Age in 8 years :

Granddaughter's age = x + 8

Grandfather's age :

y + 8 = 5(x + 8)

y = 9x

Then ;

9x + 8 = 5(x + 8)

9x + 8 = 5x + 40

9x - 5x = 40 - 8

4x = 32

x = 32 / 4

x = 8

y = 9x = 9*8 = 72

plot the point P(-6,2) and fron it draw PM and PN perpendiculars to x-axis and y-axis​

Answers

Answer:

image

Step-by-step explanation:

(3,5) and (9,10) find the slope that passes through the given points

Answers

Answer:

5/6

Step-by-step explanation:

slope = (difference in y)/(difference in x)

slope = (10 - 5)/(9 - 3) = 5/6

Answer: 5/6

Answer:

Hi! The answer to your question is [tex]m=5/6[/tex]

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

I will give brainliest to whoever answers this question:) help a dummy out

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The equation is a parabola, that opens up downwards,  and the point from which Sarah throws the ball is 5 feet off the ground.  so set the height to zero ( when the ball reaches the ground )  and solve for t

0 = -16[tex]t^{2}[/tex] + 18t + 5

use quadratic equation :)

-b +- sqrt([tex]b^{2}[/tex] - 4ac) / 2a

-18 +- sqrt[ [tex]18^{2}[/tex] - 4 (-16)(5) ] / 2(-16)

-18 +- sqrt[324 +320 ] / -32

-18 +- sqrt[644] / -32

-18 +- 25.377155 / -32

do the positive choice :

-18 + 25.377155 / -32

7.377155  / -32

-0.2305  ( so this answer would be where the ball would hit the ground if the arc extended down to the ground behind where Sarah throws the ball from. so this answer doesn't count in our domain. Because it's before Sarah throws the ball)

do the negative choice:

-18 - 25.377155 / -32

1.355536  ( this answer looks good, about 1.35 seconds for the ball to fly , this was more of a toss than a throw. )

t = 1.4 seconds ( rounded to nearest 10th )

help me with this i only have 10 mis left

Answers

Answer:

It's definitely C

Step-by-step explanation:

Boston is 35 degrees as well but the lowest temperature of Seattle is 45

4(8x−1) = 19+32x
I need help with a question I am kinda stuck on please someone help and please give me some steps for it at least some.

Answers

Answer: 0 = 23

Almost positiveee :))

Step-by-step explanation:

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