A skier is on the top of a 350 meter tall mountain looking down at a tree. The direct path from the tree to the skier is 505 meters. What is the angle of depression from where the skier is standing to the base of the tree

Answers

Answer 1

Answer:

[tex]43.87^{\circ}[/tex]

Step-by-step explanation:

We are given that

Height of mountain=350 m

Distance  from the tree to the skier=505 m

We have to find the angle of depression from where the skier is standing to the base of the tree.

In triangle ABC

[tex]\frac{AB}{AC}=sin\theta[/tex]

By using the formula

[tex]\frac{Perpendicular\;side}{Hypotenuse}=sin\theta[/tex]

[tex]\frac{350}{505}=sin\theta[/tex]

[tex]sin^{-1}(\frac{350}{505})=\theta[/tex]

[tex]\theta=43.87^{\circ}[/tex]

Hence, the angle of depression from where the skier is standing to the base of the tree=[tex]43.87^{\circ}[/tex]

A Skier Is On The Top Of A 350 Meter Tall Mountain Looking Down At A Tree. The Direct Path From The Tree

Related Questions

You solve a system by substitution and get 16=34. What does this mean?

SOMEONE PLEASE HELP

Answers

Answer:

First choice.

Step-by-step explanation:

When you solve the system and somehow get both sides two different value. That means both graphs are oarallel (graph of both equations). When two sides are different, we can say that there are no solutions.

The equation y+6=3(x= 9) is written in point-slope form. What is the equation written in slope-intercept form?
O y-x-
O - x + 9
O x-fx-8
o y = x + 3

Answers

Answer:

slope intercept form is y = mx + b

It looks like y= x+3 is the only option in slope intercept form

Which equation best describes the graph?

y = -4/5x – 2


y = 5/4x – 2


y = 4/5x + 2


y = -5/4x + 2

Answers

Answer:

A

Step-by-step explanation:

graph calc

Answer:

y=-4/5x-2

Step-by-step explanation:

the y intercept is -2, because the line touches the y axis at -2. the line is the the 2nd and the 4th quadrant which make the slope negative. The rise is 4 and the run is 5, so its -4/5x.

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Question 38
This year, Martin's income is 1/4 greater than his income from last year.lfs represents Martin's income last year, what is his income this
i
year?
A
S
B
S
С
s
D
4s
2021 Illuminate Education, Inc.

Answers

ANSWER : B CAUSE ITS REALKY GOOD

systems of equations 5x+y=7
20x+2=y

Answers

Step-by-step explanation:

5x+y=7

20x+2=y

put y value in first equation

5x+(20x+2)=7

25x=5

x=5

now put x value to determine y

as we know 20x+2=y

20(5)+2=y

y=102

Create a story for the following function: y=15,000 - 250x please help!!

Answers

Answer:

just search and then thats it


Mark all of the statements that are true.

Answers

Answer: E C and A

Step-by-step explanation:

help me plz !!!!!!!!!!!!!!!!!!!!

Answers

Answer:

4

Step-by-step explanation:

8 ×1/2, if I'm wrong I am sorry

Answer:

1/8

Step-by-step explanation:

What are the values of x and y? ​

Answers

Answer

the one in the bottom right

Step-by-step explanation:

Answer:

option 2

Step-by-step explanation:

Using the cosine and sine ratios in the right triangle and the exact values

cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , sin30° = [tex]\frac{1}{2}[/tex]

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{20\sqrt{3} }[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2x = 60 ( divide both sides by 2 )

x = 30

--------------------------------------------------

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{20\sqrt{3} }[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2y = 20[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

y = 10[tex]\sqrt{3}[/tex]

What is the solution to the system of eqautions represented by these two lines?

Answers

Answer:

Step-by-step explanation:

A or C

Answer:

The solution to the system of equations represented by these two lines is:

(2, 0)

Hence, option C i.e. (2, 0) is correct.

Step-by-step explanation:

Please note that the point of intersection between two lines is the solution of the system of equations.

From the graph, it is clear that two lines intersect at x = 2 and y = 0.

In other words, the point of intersection of the two lines is:

(x, y) = (2, 0)

Therefore, the solution to the system of equations represented by these two lines is:

(2, 0)

Hence, option C i.e. (2, 0) is correct.

Consider angle θ in Quadrant lI, where cosθ = - 12/13. What is the value of sinθ?​

Answers

Answer:

The value of sin Ф is [tex]\frac{5}{13}[/tex]

Step-by-step explanation:

In quadrant II, the value of

sin Ф is positivecos Ф is negativetan Ф is negative

Let us solve the question

sin²Ф + cos²Ф = 1

∵ cos Ф = [tex]\frac{-12}{13}[/tex]

→ Substitute it in the identity above

sin²Ф + ([tex]\frac{-12}{13}[/tex])² = 1

∴ sin²Ф + [tex]\frac{144}{169}[/tex] = 1

→ Subtract [tex]\frac{144}{169}[/tex] from both sides

∵ sin²Ф + [tex]\frac{144}{169}[/tex]  - [tex]\frac{144}{169}[/tex]  = 1 - [tex]\frac{144}{169}[/tex]

sin²Ф = [tex]\frac{25}{169}[/tex]

→ Take the square root of both sides

∵ √(sin²Ф)= ± [tex]\sqrt{\frac{25}{169}}[/tex]

∴ sin Ф = ± [tex]\frac{5}{13}[/tex]

Ф is in quadrant II

∴ sin Ф is a positive value

∴ sin Ф = [tex]\frac{5}{13}[/tex]

The value of sin Ф is [tex]\frac{5}{13}[/tex]

Are the ratios 3:2 and 17:12 equivalent?
yes
no

Answers

i don’t really think so.

Answer:

no

Step-by-step explanation:

3:2 is equal to 18:12 not 17

Wayne has a recipe that says to heat the oven to 160°C. Wayne evaluates the expression 1.8C + 32 when C= 160 to convert the temperature to degrees Fahrenheit To which temperature should Wayne heat the oven?​

Answers

1.8C+32. 1.8x25+32. 45+32

Wayne should heat the oven to a temperature of 320°F for a recipe.

What is the algebraic expression?

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers. Unknown variables, numbers, and arithmetic operators make up an algebraic expression.

Wayne has a recipe that says to heat the oven to 160°C.

To convert a temperature in degrees Celsius to degrees Fahrenheit, we can use the formula:

F = 1.8C + 32

Given that C= 160, we can substitute it into the formula:

F = 1.8(160) + 32

F = 288 + 32

F = 320

Therefore, he should heat the oven to 320°F.

Learn more about the algebraic expression here :

brainly.com/question/21751419

#SPJ5

Given a quadrilateral DEFG. If angle ED is supplementary to ____________then DEFG is a parallelogram .
A. angle EFG and angle DEF B. angle DGF and angle EFC C. angle DEF and angle DGF

Answers

Answer:

The correct option is A.

Step-by-step explanation:

It is given that  DEFG is a parallelogram.

Draw the diagonals DF and EG. Place point H where DF and EG intersect.

In triangle HGD and HEF

,

∠HGD ≅ ∠HEF                            (Alternate Interior angle)

∠HDG ≅ ∠HFE                      (Alternate Interior angle)

By the definition of a parallelogram, the opposite sides of a parallelogram are congruent.

DG ≅ EF                                      (Opposite sides of parallelogram)

According to ASA postulate :

two triangles are congruent if any two angles and their included side are equal in both triangles.

So, by using ASA criterion for congruence we get,

ΔDGH ≅ ΔFEH

Since corresponding sides of congruent triangles are congruent, therefore

GH ≅ EH                      (CPCTC)

DH ≅ FH                     (CPCTC)

HELP THIS IS WORTH 100 POINTS WILL MARK BRAINLIEST

Answers

Answer:

V T R (answer choice 4)

Step-by-step explanation:

Plane B is the side of the figure labeled B

The following points are on Plane B:

T, U, V, R, S

The only answer that contains three of these points is D (Answer choice 4)

Can you answer this plzz

Answers

Answer:

that will be 4

Step-by-step explanation:

it goes by 4

Are 6 (x + 5) and 6 • x + 6 • 5 equivalent

Answers

Answer:

Yes they are equivalent

yes, both are equivalent

FOR 43 POINTS PLEASE HELP I don't want to fail I need as much help as i can get
QUESTION 1
If RS is 2x+15, and VW is 3x+5, and UT is 6x-37. What is RS?
QUESTION 2
Angle J is (7x+2) Angle L is (25x-14)
What is (x)

Answers

Answer:Can u sum it up?

Step-by-step explanation:

Answer:

47

Step-by-step explanation:

Step-by-step explanation:

(Base1 + Base2)/2 = midsegment

1. ((2x+15) + (6x-37))/2 = 3x+5

2. (8X-22)/2 = 3x+5

3. ((8x-22)/2))2 = (3x+5)2

4. 8x-22=6x+10

5. 2x-22=10

6. 2x-22+22=10+22

7. 2x=32

8. x=16

Now that you have solved for X add the value to line RS

RS = 2(16) + 15

RS = 32 + 15

RS = 47

What does 64 squared with an exponent of -3 equal?

Answers

1/64^3 is a answer I got

Answer:

1.4551915e-11 (e usually means amount of zeros after the number)

Step-by-step explanation:

In △XYZ, angle X is the smallest angle, angle Y is 40 degrees more than angle X, and angle Z is 2 times the measure of angle X. What is the measure of angle X?

Answers

Answer:

x=35°   y= 75°   z = 70°

Step-by-step explanation:

Y = x+40   (known)

z = 2x    (known)

x + y + z = 180     (triangle property)

x + (x+40) + 2x = 180   (substitution)

4x + 40 = 180

4x = 140

x = 35

y = x + 40 = 75

z = 2x = 70

For each 3 mm of coloured fabric Alex uses to make his curtains, he also uses 2 cm of white
fabric. Express the amount of white fabric to coloured fabric as a ratio in its simplest form.


PLEASE I NEED HELP. XXXXX​

Answers

Answer: 20:3

Step-by-step explanation:

=) 2 cm = 20 mm

therefore, 20:3

What is the Greatest Common Factor (GCF) of 2x^2 and 4x?

Answers

Answer:

56  

Step-by-step explanation:

can you help me plz i nee help

Answers

Answer:

x = 44

Step-by-step explanation:

its saying that x is less than 45 therefore its 44

Answer:

D

Step-by-step explanation:

x needs to be less then 45

Use the equation below to find v, if u = 18, a=6, and t=4.
v=u+at

Answers

v= 42
v=18+6(4)
v=18+24

Answer:

v= 42

Step-by-step explanation:

To find the value of v, substitute the given values into the equation.

v= u +at

when u= 18, a= 6, t= 4,

v= 18 +6(4)

v= 18 +24

v= 42

MATH HELP ASAP!! MARKING BRAINLIST PLS! A B OR C

Answers

Answer:

A

Step-by-step explanation:

I am 100% sure it is A.

Which linear equation has the greatest y intercept?

x + 6y = 36

Y = 15x + 5

3x + 8y = 24

Y = 4x + 7

Answers

Answer:

y=4x+7

Step-by-step explanation:

replace x by any one number and find out

Emily Casper earns a weekly salary of $785. How much will she make after:

a, two weeks?

b, four weeks?

c, one year?

Answers

Answer:

Two weeks: $1570

Four weeks: $3140

One year: 9420

Step-by-step explanation:

Week 2 :1570

B 3140

C 9420

Please help due soon will give brainliest

Answers

(4,3) is the intersection (where the graphs meet

Answer:

The intersect point 4,3 H

Step-by-step explanation:

Hope this helps. Have a fantastic day!

HELPPPP indentify one characteristic of exponential decay

Answers

Answer:

A more intuitive characteristic of exponential decay for many people is the time required for the decaying quantity to fall to one half of its initial value. This time is called the half-life, and often denoted by the symbol t1/2. The half-life can be written in terms of the decay constant, or the mean lifetime.

Step-by-step explanation:

what is the solution of the proportion?
x-6/4 = 2/4
a 9/2
b 5/2
c 21/2
d 18

Answers

Answer:

Solution of the proportion: [tex]\frac{x-6}{4}=\frac{2}{4}[/tex] is x=8.

Step-by-step explanation:

We need to find solution of the proportion: [tex]\frac{x-6}{4}=\frac{2}{4}[/tex]

For solving the equation, first we will multiply both sides by 4

[tex]\frac{x-6}{4}=\frac{2}{4}[/tex]

[tex]4\times \frac{x-6}{4}=4\times \frac{2}{4}[/tex]

[tex]x-6=4(\frac{2}{4})[/tex]

Simplifying

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

Adding 6 on both sides

[tex]x-6+6=2+6x=8[/tex]

So, solution of the proportion: [tex]\frac{x-6}{4}=\frac{2}{4}[/tex] is x=8.

Note: Kindly recheck your options as correct answer is x =8.

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