You hike 190 meters up a steep hill that has a 33∘ angle of elevation as shown in the diagram.

You Hike 190 Meters Up A Steep Hill That Has A 33 Angle Of Elevation As Shown In The Diagram.

Answers

Answer 1

Answer:

b = 159 m

a = 103 m

angle B is 57 degrees

Step-by-step explanation:

Let’s start with getting the measure of angle B

Mathematically, since we have a right triangle , we have to subtract the given angle from 90 to get the other acute angle

So we have the measure of B as;

90-33 = 57 degrees

To get the value of a, we use the appropriate trigonometric ratio

a faces the angle 33, that makes it an opposite to that angle

190 faces the right angle and that makes it the hypotenuse

Mathematically , the relationship between the two is that trigonometrically, they are related by the sine which is the ratio of the opposite to the hypotenuse

so, we have it that;

sine 33 = a/190

a = 190 * sine 33

a = 103 m

to get b, it is adjacent to the given angle

So with the hypotenuse, the ratio between it and the hypotenuse is the cosine

so;

cos 33 = b/190

b = 190 * cos 33

b = 159 m

Answer 2

Answer:

a = 103 m

b = 159 m

angle B is 57

Step-by-step explanation:


Related Questions

The measurement of angle E is _____ degrees

Answers

Answer:

75

Step-by-step explanation:

All angles that are either exterior angles, interior angles, alternate angles or corresponding angles are all congruent.

On the right side  angles wil be either 75 or 105  (75+105= 180)

Please help with this one question that I've been stuck on!!! In a random sample of 74 homeowners in a city, 22 homeowners said they would support a ban on non natural lawn fertilizers to protect fish in the local water ways. The sampling method had a margin of error of ±3.1%. SHOW ALL WORK!
A) Find the point estimate.
B) Find the lower and upper limits and state the interval.
Please show your work & how you got your answer!

Answers

Anders Celsius (Swedish pronunciation: [ˌanːdəʂ ˈsɛlːsiɵs], 27 November 1701 – 25 April 1744) was a Swedish astronomer, physicist and mathematician. He was professor of astronomy at Uppsala University from 1730 to 1744, but traveled from 1732 to 1735 visiting notable observatories in Germany, Italy and France. He founded the Uppsala Astronomical Observatory in 1741, and in 1742 proposed (an inverted form of) the Centigrade temperature scale which was later renamed Celsius in his honor.

Romeo and Juliet is a tragedy written by William Shakespeare early in his career about two young Italian star-crossed lovers whose deaths ultimately reconcile their feuding families. It was among Shakespeare's most popular plays during his lifetime and, along with Hamlet, is one of his most frequently performed plays.

please answer fast help me i have thgis math problem

Answers

Answer:

[tex]x = 152[/tex]

because these angles are infront of each other

Answer:

x = 152

Step-by-step explanation:

x and 152° are vertical angles and are congruent , then

x = 152

which is true about the table and the graph shown below?

Answers

Answer:

D) Neither the table nor the graph shows a proportional relationship

Step-by-step explanation:

We know the equation of the line:-

[tex]y-y_{1} =m(x-x_{1}) ~ m=slope[/tex]

[tex]m=\frac{y_{2}-y_{1} }{x_{2-} x_{1} }[/tex]

[tex](x_{1}y_{1})=(-1 ,-9)[/tex]

[tex](x_{2},y_{2} )=(1,-3)[/tex]

[tex]\frac{m=(-3)-(-9)}{1-(-1)} =\frac{-3+9}{1+1} =\frac{6}{2} =3[/tex]

[tex]m=3[/tex]

[tex]y-(-9)=3(x-1)[/tex]

[tex]y+9=3(x+1)[/tex]

[tex]y+9=3x+3[/tex]

[tex]y=3x-6 ~ or ~ y=3(x-2)[/tex]

so, your answer is D

»»————- ♔ ————-««

hope it helps..

have a great day!

Find the PERIMETER of the triangle below. Round your answer to the nearest tenth.

Answers

Hi how you doing? Be safe

Answer:

16.4 units

Step-by-step explanation:

Refer to the attached image, just find the hypotenuses of the three additional triangles, and add them up to become the perimeter of the yellow triangle.

Using Pythagoras Theorem:

Hypotenuse of the red triangle

[tex] = \sqrt{ {3}^{2} + {5}^{2} } [/tex]

[tex] = \sqrt{34} [/tex]

Hypotenuse of the blue triangle

[tex] = \sqrt{ {3}^{2} + {3}^{2} } [/tex]

[tex] = \sqrt{18} [/tex]

Hypotenuse of the green triangle

[tex] = \sqrt{ {2}^{2} + {6}^{2} } [/tex]

[tex] = \sqrt{40} [/tex]

The perimeter of the yellow triangle

[tex] = \sqrt{34} + \sqrt{18} + \sqrt{40} [/tex]

[tex] = 16.398...[/tex]

= 16.4 units

select three side lengths in centimeters that can form a right triangle 5cm 6cm 8cm 10cm 12cm

Answers

Answer:

10cm

Step-by-step explanation:

Find the perimeter of the figure.

Answers

The answer is 96ft^2

Answer:

75

Step-by-step explanation:

9 + 9 + 9 + 9 + 9 + 30 = 75

Good luck on your assignment!

27 solid iron spheres each of radius x cm are melted to form a sphere with radius y cm,find the ratio of x:.

Answers

Answer:

Radius of 1 solid iron sphere =r

⇒Volume =34πr3

⇒Volume of 27 solid iron spheres =27×34πr3

⇒34πr′3=27×34πr3

r′3=2πr3

⇒r′=3r

(ii) Surface area =4πr2

SA r′=4πr′2

=4π(3r)2=36πr2

S′S=36πr24πr2=91=1:9

please help hurry its due today show work and how to do it. no links please
6 x 4 - 2 = use order of operation evaluate expression

Answers

[tex]6 * 4 - 2 =[/tex]

1. [tex]6 * 4 = 24[/tex]

2. [tex]24 - 2 = 22[/tex]

Answer: 22.

IXL Q.12 PLS HELP I HAVE BEEN STUCK ON THIS ONE FOR SOME TIME.

Answers

Answer:

m∠1 = 100°

Step-by-step explanation:

Find the measure of angle BEC
A) 10 degrees
B)60 degrees
C) 80 degrees
D) 100 degrees

Answers

Answer:

80°

Step-by-step explanation:

Apply vertically opposite angles,

∠BEC = ∠GEA = 8x°

∠GEC = ∠BEA = (4x+60°)

To find x, apply angles at a point,

8x + 8x + (4x+60°) + (4x+60°) = 360°

16x + 2(4x+60°) = 360°

16x + 8x + 120° = 360°

24x = 240

x = 10

To find ∠BEC (8x°),

8 × 10 = 80°

PLS HELP ME

The height of a javelin after it has left the hand of the thrower can be modeled by the function h=3(4t-2)-t + 4), where h is the height of the javelin and t is the time in seconds. How long is the javelin in the air?

Answers

Answer:

3.5 seconds

Step-by-step explanation:

Given function:

h(t) = 3(4t - 2)(- t + 4)

The time the javelin is in the air is the difference of zero's of the function:

3(4t - 2)(- t + 4) = 0(4t - 2)(- t + 4)4t - 2 = 0 ⇒ t = 0.5-t + 4 = 0 ⇒ t = 4

Time in the air:

4 - 0.5 = 3.5 seconds

It is better visible on the graph

Need help I don’t understand

Answers

R= 15

25 + R = 40
-25 -25
___________
R = 40 - 25
R = 15

You have to isolate your variable (the letter in a mathematical equation) by combining similar terms (all real numbers should go together and all variables should go with like variables [R’s go together]). And remover that what you do to one side you have to do to the other.

PLZ HELP PLZ PLZ ILL MARK AS BRAINLIESTT!!

Answers

Answer:

.3 feet

Step-by-step explanation:

3.8 - 3.5 = .3

Kevin open to saving account with $1400 that pays no interest he deposit additional $170 each week write a recursive formula to show how much money Kevin has in his account n weeks after opening the account

Answers

Answer:

Amount in account of Kevin after [tex]n[/tex] weeks is equal to [tex]\$(1400+170n)[/tex]

Step-by-step explanation:

Initial amount in the savings account [tex]=\$1400[/tex]

Amount deposited each week by Kevin [tex]=\$170[/tex]

Amount deposited by Kevin in [tex]n[/tex] weeks [tex]=\$170n[/tex]

Therefore,

Amount in account of Kevin after [tex]n[/tex] weeks [tex]=[/tex] Initial amount in the savings account [tex]+[/tex] Amount deposited by Kevin in [tex]n[/tex] weeks

[tex]=\$(1400+170n)[/tex]

√180r^2
simplify square roots

Answers

6 I don’t know how to right the v thing but 6 v thing 10r ‘2

What is the volume?
(*I wrote the numbers out just in case you couldn't see them.)

Answers

Answer:

I believe the volume is 540cm

Step-by-step explanation:

To find the volume of a rectangular prism, all you really need to do is multiply the length x width x height (LxWxH)

For this shape it's just:

9(L)*12(W)=108

108*5(H)=540

Answer:

the volume should be 58320

Step-by-step explanation:

12 x 9 x 12 x 5 x 9 = 58320

sorry if I'm wrong

KHAN ACADEMY! PLEASE HELP!

Answers

Answer:

60 degrees

Step-by-step explanation:

First find angle I by using the sum of the angles in a triangle is 180 degrees

59+61+I = 180

120 + I = 180

I = 180-120

I =60

<I = <x since they are corresponding angles

<x = 60 degrees

What is the area of a rectangle which has a perimeter of 60 m and a width of 10 m?

Answers

Answer:

200

Step-by-step explanation:

please mark as brainliest if correct

thank you

Need help on angles of polygons please

Answers

Answer:

x+87+92+105+135=540(sum of interior angle of pentagon)

x+419=540

x=540-419

x=121

Step-by-step explanation:

WILL MAKE BRAINLIEST

Answers

Answer:

75 vitamins = 18 dollars

Step-by-step explanation:

25 vitamins are equal 6 dollars

Answer:

$311.25

Step-by-step explanation:

Hope its right!   50/$12 divided by 6 = 2/$8.3 divided by 2 = 1/$4.15

1/$4.15 x 75 = 75/$311.25  I hope this is right if not im so sorry!


[tex]i \: need \: help \: \\ \\ (a \: + \: b) {}^{2} = {?} [/tex]

Answers

Answer:

I hope this helps you :)...

Answer:

(

[tex] {a}^{2} + 2ab + {b}^{2} [/tex]

Step-by-step explanation:

(a+b)²

=(a+b)(a+b)

=a(a+b)+b(a+b)

=a²+2ab+b²

Find the length of the third side. If necessary, round to the nearest tenth.2 5

Answers

Answer:

b= 4.6

Step-by-step explanation:

use the pythagorean theorem.

Answer:

4.6

Step-by-step explanation:

At an automobile dealership, 2 out of every 12 cars sold are red. Which is the best prediction of the number of red cars sold when the automobile dealer sells 150 cars?

Answers

Answer:

25

Step-by-step explanation:

2 out of 12 means also 1 out of 6.

so, a ratio of 1:6 or a factor of 1/6.

150 × 1/6 = 150 / 6 = 25

so, we expect that out of the 150 sold cars 25 have been red.

TV and WY are parallel lines, which angles are supplementary angles?

Answers

Answer:

∠WXU & ∠WXZ

Step-by-step explanation:

Use special product patterns to find the product.

16 x 24

Answers

Answer:

4

[tex]4 ^{2} \times \sqrt[2]{6} [/tex]

square root 16 is 4^2

same as 24 is 2/6

The requires answer for 16 x 24 by using special product patterns is 384.

What is special product pattern?

A special product is a product of two binomials that hold a predictable pattern.

Now the given expression is,

16 x 24

Now both the terms can be written as,

16 = (20 - 4)

24 = (20 + 4)

Therefore we get,

16 x 24 =  (20 - 4) x (20 + 4)

since,

a² - b² = (a + b) (a - b)

⇒ (20 - 4) x (20 + 4) = 20² - 4²

∴ 6 x 24 = = 20² - 4²

⇒ 6 x 24 = 400 - 16

⇒ 6 x 24 = 384

Thus, the requires answer for 16 x 24 by using special product patterns is 384.

To learn more about special product:

https://brainly.com/question/2241589

#SPJ2

Which segment has the greatest frequency?

Answers

Answer:

The one that reached up to 8 on the graph.

Step-by-step explanation:

it’s true or false, you can see the question in the pic. HELPP NOW PEASE !!

Answers

i think it's , true , false , false . the last one is kinda tricky

Camille is packing moving boxes. She has one 4 cubic-foot box and one 7 cubic-foot box. How many cubic feet of clothing can she fit in the two boxes?

Answers

Answer:

He can fit 11 ft^3

Step-by-step explanation:

Here, we want to get the volume it clothes that could fit into the two boxes

What we have to do here is to add the amount of space each of the box has to offer

Mathematically, we have this as;

7 ft^3 + 4 ft^3 = 11 ft^3

what is the answer f(t)=40(1.18)^t

Answers

Answer:

18% if it is the rate of change.

0 if solved

Step-by-step explanation:

Sorry, but you need more information

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