Jacob is standing on the observation deck of the Sears Tower in Chicago. The height of the

observation deck is 1450 feet. He sees his car being towed, which is parked on the street 5,128

feet from the base of the tower. Find the angle of depression. Round to the nearest tenth.

Answers

Answer 1

9514 1404 393

Answer:

  15.8°

Step-by-step explanation:

The relationship between angle trig functions and sides of a right triangle is summarized in the mnemonic SOH CAH TOA. Here, we're given the side opposite the angle (the height of the deck), and the side adjacent to the angle (the horizontal distance). So, the applicable relation is ...

  Tan = Opposite/Adjacent

  tan(angle) = 1450/5128

Then the angle is found using the inverse tangent function:

  angle = arctan(1450/5128) ≈ 15.8°

The angle of depression is about 15.8°.


Related Questions

A museum curator needs to frame a rectangular painting. The painting is 30 inches by 17 inches. If the frame has a width of x on all sides, what is the quadratic function that models the area of the painting and frame?

Answers

Answer:

(30 + 2x) * (17 + 2x)

Step-by-step explanation:

Dimension of painting = 30 by 17 inches

Width of frame on all sides = x

Painting and frame takes the shape of a rectangle :

Area of rectangle = Length * Width

Area of painting = (30 * 17)

Area of frame ;

Length = (x + x) = 2x ;

Width = (x + x) = 2x

Area of frame = 2x * 2x

Equation for the Area of painting and frame :

(30 + 2x) * (17 + 2x)

express the following ratio in their simplest form 65g:2kg​

Answers

Answer:

we cant express it. only itself can because in 2021 we can talk to anyone and ask them a question

what is the velocity of a train that is traveling 400 kilometers south in 5 hours

Answers

Answer:

80 km/h

Step-by-step explanation:

Velocity = 400/5 km/h = 80 km/h

Ramon simplified this expression correctly. Here is what he wrote 12x+2-5. 12x-3 why didn't Ramon combine the 12x with the 2 or -5

Answers

Answer:

He didn't combine the 12 with the two or the -5 because it has a variable.

Step-by-step explanation:

There is an unknown to it, like how much it is multiplied by or something. Since the 2 and the -5 didn't have a variable attached to them, they could be combined with teach other, but not the 12.

There are 10 children at a party. If each child gets 1/8 of the pizza, how many pizzas will be needed?

Answers

Answer:

2 pizzas

Step-by-step explanation:

a 100oz bottle costs $2.97 and a 200oz bottle costs $5.78 what is the unit price of each one?

Answers

Answer: BOTTLE 1 =0.0297 BOTTLE 2 =0.0289

Step-by-step explanation:

In a unit rate, the denominator is always 1. So, to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1. For example, if 50 km is covered in 5.5 hours, the unit rate will be 50 km/5.5 hours = 9.09 km/hour

bottle 1: $2.97/100 oz = unit rate

bottle 2: $5.78/200 oz=unit rate

BOTTLE 1 =0.0297

BOTTLE 2 =0.0289

PLEASE HELP!
which expression is equivalent to 4(3+5) - 3.9%?
C 1220-54

Answers

Answer: 30.752

Step-by-step explanation:

PLSS PLS HELP ITS DUE SOON IM DESPERATE

Answers

Answer:

The answer is A

Step-by-step explanation:

Use the form y = mx + b for your answer.  Since 32 is the starting point, it will represent b.  b represents the y intercept.  Since the temperature decreases every hour, the second part of the equation would -2h.  So, if you put it together, the final equation is y = -2h + 32.

hich list is in order from least to greatest?
1.94 times 10 Superscript negative 5, 1.25 times 10 Superscript negative 2, 6 times 10 Superscript 4, 8.1 times 10 Superscript 4
1.25 times 10 Superscript negative 2, 1.94 times 10 Superscript negative 5, 6 times 10 Superscript 4, 8.1 times 10 Superscript 4
1.25 times 10 Superscript negative 2, 1.94 times 10 Superscript negative 5, 8.1 times 10 Superscript 4, 6 times 10 Superscript 4
1.94 times 10 Superscript negative 5, 1.25 times 10 Superscript negative 2, 8.1 times 10 Superscript 4, 6 times 10 Superscript 4

Answers

Answer:

The options in the question was not properly arranged/ formatted. See the arranged options in the explanation section

The correct option is A.

1.94 times 10 Superscript negative 5, (1.9 x 10⁻⁵)

1.25 times 10 Superscript negative 2 (1.25 x 10⁻²),  

6 times 10 Superscript 4 (6 x 10⁴),  

8.1 times 10 Superscript 4  (8.1 x 10⁴)

Step-by-step explanation:

Which list is in order from least to greatest?

1.94 times 10 Superscript negative 5,

1.25 times 10 Superscript negative 2,

6 times 10 Superscript 4,

8.1 times 10 Superscript 4

1.25 times 10 Superscript negative 2,

1.94 times 10 Superscript negative 5,

6 times 10 Superscript 4,

8.1 times 10 Superscript 4

1.25 times 10 Superscript negative 2,

1.94 times 10 Superscript negative 5,

8.1 times 10 Superscript 4,

6 times 10 Superscript 4

1.94 times 10 Superscript negative 5,

1.25 times 10 Superscript negative 2,

8.1 times 10 Superscript 4,

6 times 10 Superscript 4

Which list is in order from least to greatest?  

A.

1.94 times 10 Superscript negative 5, (1.9 x 10⁻⁵)

1.25 times 10 Superscript negative 2 (1.25 x 10⁻²),  

6 times 10 Superscript 4 (6 x 10⁴),  

8.1 times 10 Superscript 4  (8.1 x 10⁴)

B

1.25 times 10 Superscript negative 2 (1.25 x 10⁻²),  

1.94 times 10 Superscript negative 5 (1.9 x 10⁻⁵),  

6 times 10 Superscript 4 (6 x 10⁴),  

8.1 times 10 Superscript 4  (8.1 x 10⁴)

C.

1.25 times 10 Superscript negative 2 (1.25 x 10⁻²),

1.94 times 10 Superscript negative 5 (1.9 x 10⁻⁵),  

8.1 times 10 Superscript 4 (8.1 x 10⁴),  

6 times 10 Superscript 4  (6 x 10⁴)

D.

1.94 times 10 Superscript negative 5 (1.9 x 10⁻⁵),  

1.25 times 10 Superscript negative 2 (1.25 x 10⁻²),

8.1 times 10 Superscript 4 (8.1 x 10⁴),

6 times 10 Superscript 4  (6 x 10⁴)

Answer:    D im taking the test For the unit test

Step-by-step explanation:

8.1 times 10 Superscript 4, is less than  6 times 10 Superscript 4

6 is a whole number and 8.1 is not.

Pls help taking im taking
The table shows the proportional relationship between the gallons (g) of fuel and the price (p) at Phil's Gas Station
PHIL'S GAS STATION
Gallons (g) Price (p)
5 $13.75
10 $27.50
15 $41.25
20 $55.00
The price of gas at Bob's Gas Station is $0.25 less per gallon than Phil's Gas Station. Which equation shows the price of gas at Bob's Gas Station?
A p = 2.59
OB. p = 2.79
oc. p= 2.759
OD p = 39

Answers

Answer: A

Step-by-step explanation:

The equation p = 2.5g shows the price of gas at Bob's Gas Station.

What is equation?

The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal.

Types of Equations:

   Linear Equation: More than one variable may be present in a linear equation. An equation is said to be linear if the maximum power of the variable is consistently 1.

   Quadratic Equation:This equation is of second order. At least one of the variables in a quadratic equation needs to be raised to exponent 2.

  Cubic Equation: A third-order equation is this one. At least one of the variables in cubic equations needs to be raised to exponent 3.

   Rational Equation: A fractional equation having a variable in the numerator, denominator, or both is referred to as a rational equation.

the equation of price of gas at Phil's station is:

for p = 2.7g +0.25g

p(5) = 2.7*5+0.25*5

= 14.75 (which is not true)

hence,

p = 2.5g + 0.25*g

p(5) = 2.5*5 + 0.25*5

p(5) = 13.75

hence equation of price of gas at Bob's station is:

p = 2.5g

To know more about equation please visit:

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PLEASE ANSWER QUICK I NEED HELP!!!

Use the graph to answer the question below.

What is the slope of the line given in the graph?

Answers

Answer:

_____________Y= -2X-10 __________

Answer:

y= -2/1x + 10

Can somebody help me ?

Answers

Answer:

B) part

Step-by-step explanation:

Part hope it helps :))

the value of y is four less than one-third of x. what is the equation of the relationship

Answers

Answer:

y=1/3x-4

Step-by-step explanation:

Answer:

y=1/3x-4

Step-by-step explanation:

4 is negative cause it says less than..

Anyone know the answer to this?

Answers

Answer:

124.80 ft

Step-by-step explanation:

Height of Daniel = 6 ft

The angle of elevation from his eyes to the top of the statue is = 68°

Daniel is 48 ft away from the base of the statue

To find the height of the statue apply the tangent of an angle formula then add height of Daniel as;

Tan 68° = h/48

h= {48 tan 68°} + 6 ft

h= 124.804168964

h= 124.80 ft

how to find the area of a circle with the diameter of 30

Answers

A = pi x r^2
r = 30/2 = 15
A = pi(15^2)
A = pi(225) or
A = 3.14(225) = 706.5

If CB =3(x+8) and AD= 4(x+3), find AB

Answers

CD=CA+AB+BD

AB=CD-CA-BD

AB=CD-BD-BD

AB=CD-2.BD

AB=CD-2(BC+CD)

AB=CD-2BC-2CD

AB=-(CD+2BC)

AB=-{98-6(x+8)}

AB= 6x-50

What is the slope of the line that passes through the points (-10,0) and (-13, 3)?
Write your answer in simplest form.
Answer:
Submit Answer
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O

Answers

Answer:

-1

Step-by-step explanation:

Remember: Slope is rise/run

It rose 3

It ran -3

So -1

Sani has 2 shirts, 2 pairs of pants, and
2 pairs of socks. How many different
possible outfits can Sani wear?

Answers

Answer:

Step-by-step explanation:

It says that Sani has 2 shirts and 2 pairs of pants and 2 pairs of socks. You have to add all the up together. 2+2+2=6 He can wear 6 different possible outfits.

Pls help it due ASAP
Please show workings

Answers

I think 11 miles but I’m not 100% hope I helped ;)

define seperation by evaporation​

Answers

Answer:

Evaporation is great separating a mixture of a soluble solid and a solvent .The involves heating the solution until the solvent evaporates leaving behind the solid residue.

May it help you

Several ordered pairs from a continuous exponential function are shown in the table.

A 2-column table has 4 rows. The first column is labeled x with entries 0, 1, 2, 3. The second column is labeled y with entries 4, 5, 6.25, 7.8125.
What are the domain and range of the function?

The domain is the set of integers, and the range is y > 4.
The domain is the set of integers, and the range is y > 0.
The domain is the set of real numbers, and the range is y > 0.
The domain is the set of real numbers, and the range is y > 4.

Answers

Answer:

The answer is C, The domain is a set of real numbers, and the range is y>0.

Step-by-step explanation:

If you recall from the instruction, the domain has to be whole numbers, because of it is not then the function will decrease into fractions never quite reaching zero. X has to be a real number, because it cannot be a fraction to keep an increasing rate, making the domain all real numbers. The range can never hit 0, so that means y>0.

Based on the values of the ordered pairs in the table of the exponential function, the domain is a set of real numbers, and the range is y>0.

What are the domain and range of the function?

The domain of a function refers to the set of possible input values.

For a graph, the domain refers to the set of possible input values shown on the x-axis.

The range of a function is the set of possible output values.

For a graph, the range is the set of possible output values shown on the y-axis.

Based on the values of the ordered pairs in the table of the exponential function, the domain is a set of real numbers, and the range is y>0.

Learn more about domain and range at: https://brainly.com/question/10197594

I need help I’ve been stuck on this problem for an hour help

Answers

Answer:

-14

if you are happy with my answer, please give brainliest :)

Step-by-step explanation:

-12+(-2)=-14

Answer: -14

Step-by-step explanation:

I know the answer but i dont know if it is supposd to be an equation

6 times 2+  (-8 divided by 4

       12                 -2

            12+-2

            -14

so what you put in the box will be the expression i just did

Pemdas

Parentheses

Exponents

Multiply

Divide

Add

Subract

Easy math but im confused (sorry)
Help with q1 and 2 please ^^​

Answers

Answer:

here............. you go...

Which statements are true? Select all that apply.​

Answers

9514 1404 393

Answer:

  A, B, D  

Step-by-step explanation:

The figure is symmetrical about the horizontal centerline, so triangles, angles, and segments above that line are congruent with corresponding segments below that line. Choices A, B, D are true statements.

__

There is nothing in the figure to indicate that ΔFGK is isosceles, so statement C cannot be considered to be true.

Lincoln constructs a triangle with one side 5 inches long and another side 7 inches long. Which is NOT a possible length for the third side?

12 inches

3 inches

6 inches

11 inches

Answers

Answer:

Step-by-step explanation:

I can help


The geometric figure that is created after plotting the points A (-3,-6), B (5,-6), C (5,-4) and D (-3,-4) on the
coordinate plane is a
A triangle.
B square.
c circle.
D rectangle.

Answers

Answer:

D. a rectangle

Step-by-step explanation:

On a coordinate plane it is D. RECTANGLE (I think)

Please help
Need working for 2 and 3

Answers

Answer:

Question 3:

51/16

As a mixed number =

3 3/16

Step by step explanation:

You have to convert the fraction into improper fractions so 8 ½ = 17/2

and 2⅔ = 8/3

then you do 17/2 ÷ 8/3 which =

51/16 theb turn this number into a mixed number which is

3 3/16

The sum of two numbers is -6. The difference is 16. Find the two numbers.

Answers

Answer:

[tex]-5\:\mathrm{and}\: 11[/tex]

Step-by-step explanation:

We can write the following system of equations:

[tex]\begin{cases}x+y=6\\x-y=16\\\end{cases}[/tex]

Adding both equations together, we isolate [tex]x[/tex] and get:

[tex]2x=22,\: x=11[/tex]

Plugging [tex]x=11[/tex] in any of the equations, we can solve for [tex]y[/tex]:

[tex]11+y=6,\: y=-5[/tex]

Verify that the solution pair [tex](11, -5)[/tex] works [tex]\checkmark[/tex]

Therefore, the two numbers are [tex]\fbox{$-5\:\mathrm{and}\: 11$}[/tex].

BRAINLIEST! URGENT! If you answer both and leave an explanation, I will mark you brainliest!​

Answers

1. b= 4x/a + 10/a - x

The surface areas of two cubes have a ratio of 49to 81. What is the ratio of the edge lengths of the two cubes

Answers

Answer:it is 3 to 4

Step-by-step explanation:

This is correct

The ratio of the edge lengths of the two cubes is 7 : 9.

What is surface area of cube?

The surface area of the cube can be defined as the total area covered by all six faces of the cube.

Given

The surface areas of two cubes have a ratio of 49 to 81.

Formula of surface area of cube = 6[tex]a^{2}[/tex]

Surface area of cube 1 = [tex]6a^{2} _{1}[/tex]

Surface area of cube 1 = [tex]6a^{2} _{2}[/tex]

Surface areas of two cubes have a ratio of 49 to 81.

[tex]\frac{6a^{2} _{1} }{6a^{2} _{2}}=\frac{49}{81}[/tex]

⇒  [tex]\frac{a^{2} _{1} }{a^{2} _{2}}=\frac{49}{81}[/tex]

⇒ [tex](\frac{a_{1} }{a_{2} } )^{2} =\frac{49}{81}[/tex]

⇒ [tex]\frac{a_{1} }{a_{2} } =\sqrt{\frac{49}{81} }[/tex]

⇒ [tex]\frac{a_{1} }{a_{2} } =\frac{7}{9} }[/tex]

⇒ [tex]a_{1}:a_{2} = 7:9[/tex]

Hence, the ratio of the edge lengths of the two cubes is 7 : 9.

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