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

The temperature was 75° Fahrenheit. The temperature dropped at a rate of 10° per hour.
What was the temperature in degrees 8 hours later?

Answers

Answer:

-5 degrees

Step-by-step explanation:

you started at 75 degrees. it dropped at a rate of 10 degrees per hour. It's been eight hours. 8 times 10 equals 80. It dropped a total of 80 degrees. the starting 75 degrees minus the current 80 degrees equals -5 degrees.

Factor f(x) 3x^3-4x^2-28x-16 given that (x+2) is a factor

Answers

Step-by-step explanation:

3x³ - 4x² - 28x - 16

= (x + 2)(Ax² + Bx + C)

= Ax³ + (2A + B)x² + (2B + C)x + 2C.

By Comparing Coefficients, we have:

A = 3,2A + B = -4,2B + C = -28,2C = -16.

Solving them will give A = 3, B = -10 and C = -8.

Hence 3x³ - 4x² - 28x - 16

= (x + 2)(3x² - 10x - 8)

= (x + 2)(3x + 2)(x - 4).

The answer is f(x) = (x + 2)(3x + 2)(x - 4).

Determine the domain of the graph shown
A.0,8
B.0,24
C.0,20
D.0,10
E.0, 12

Answers

I’m thinking it’s C.

13х - 7y + 4х
Please explain and awnser it’s for a test!

Answers

Answer:

17x-7y

Step-by-step explanation:

Im assuming you need to simplify it.

combine 13x and 4x

17x-7y

which term is related to electromagnetism applies only to the magnetic force
a. non-contact
b. poles
c. protons
d. attraction
HELP quick i am on a timed test!

Answers

which term is related to electromagnetism applies only to the magnetic force?

A. non-contact

B. poles

C. protons

D. attraction

ANSWER:

B.Poles is related to electromagnetism applies only to the magnetic force

HopeItHelps you

One cylinder has a volume that is 8 Centimeters cubed less than StartFraction 7 over 8 EndFraction of the volume of a second cylinder. If the first cylinder’s volume is 216 Centimeters cubed, what is the correct equation and value of x, the volume of the second cylinder?
StartFraction 7 over 8 EndFraction x + 8 = 216; x = 182 centimeters cubed
StartFraction 7 over 8 EndFraction x minus 8 = 216; x = 196 centimeters cubed
StartFraction 7 over 8 EndFraction x + 8 = 216; x = 238 centimeters cubed
StartFraction 7 over 8 EndFraction x minus 8 = 216; x = 256 centimeters cubed
Mark this and return

Answers

Answer:

Bro yours is correct but its just a little to complicated the answer is d

Step-by-step explanation:

Flying lessons on weekdays cost m dollars per hour. Flying lessons on weekends cost 1.2m dollars per hour. The expression 9m+3(1.2m) represents the to

Answers

Answer:

The cost of lesson for 9 hours on weekdays and 3 hours on weekends

Step-by-step explanation:

Given

[tex]Weekdays = \$m /hour[/tex]

[tex]Weekends = \$1.2m/hour[/tex]

Required

What does 9m + 3(1.2m) represent

The expression can be split to:

9m and 3(1.2m)

For 9m:

From the question, we understand that:

[tex]m = 1\ hour[/tex]

Multiply both sides by 9

[tex]9 * m = 1\ hour * 9[/tex]

[tex]9 m = 9\ hours[/tex]

This means that:

9m = the cost of lessons for 9 hours on weekdays

For 3(1.2m):

From the question, we understand that:

[tex]1.2m = 1 \ hour[/tex]

Multiply both sides by 3

[tex]3 * 1.2m = 1 \ hour * 3[/tex]

[tex]3(1.2m) = 3 \ hours[/tex]

This means that:

3(1.2m) = the cost of lessons for 3 hours on weekends

Hence, the expression represents:

The cost of lesson for 9 hours on weekdays and 3 hours on weekends

Use the diagram to the right to complete the statement. If m
m

Answers

OGH is also 132 degrees

The graph of h(x)=|x-10|+6 is shown on whitch interval is the graph increasing

Answers

D is the correct answer
it might be d... not sure whatsoever. have a good day!!

"what quadrant is...." PLEASE PLEASE HELP!!!! Thank you so so much!!! *will give brainliest*

Answers

Given:

[tex]\tan \theta > 0[/tex] and [tex]\sec \theta <0[/tex].

To find:

The quadrant.

Solution:

We know that,

In I quadrant, all trigonometric ratios are positive.

In II quadrant, only [tex]\sin \theta, \text{cosec}\theta[/tex] are positive and others are negative.

In III quadrant, only [tex]\cot \theta, \tan\theta[/tex] are positive and others are negative.

In IV quadrant, only [tex]\cos \theta, \sec\theta[/tex] are positive and others are negative.

We have,

[tex]\tan \theta > 0[/tex] and [tex]\sec \theta <0[/tex].

Here, [tex]\tan \theta[/tex] is positive and [tex]\sec \theta[/tex] is negative. So, [tex]\theta [/tex] lies in the III quadrant.

Therefore, the correct option is C, i.e., III.

Which expression uses the greatest common factor and the distributive property to rewrite the sum 64 + 32? 16(4+2) ​ 8(8+4) 32(2)+1 ​ 32(2+1) ​

Answers

Step-by-step explanation:

Since 64 = 32 * 2 and 32 = 32 * 1,

64 + 32 = 32(2 + 1).

16(4 + 2) is wrong as 4 and 2 have a GCF of 2.

8(8 + 4) is wrong as 8 and 4 have a GCF of 4.

32(2) + 1 is the wrong application of the distributive property.

Answer:

64+32=32(2+1) is greatest common factor

2. (7.3B)Gwen has $29.00. If she buys 2 shortcakes at $3.99 each and 7 pounds of strawberries
for $7.67 from the grocery store, how much money will Gwen have left in dollars and cents ?
A) $14.00
B) $32.99
C) $20.50
D) $13.35

Answers

Answer:

d. $13.35

Step-by-step explanation:

subtract

i am so sorry if this is wrong! hope this helps:)

Cara has driven one-fifth of the total distance, d, to her destination.


Which statement explains why both 1/5d and 0.2d can find the distance she has driven?




Multiplying by 1/5 is the same as multiplying by 20%.

Multiplying by 1/5 is the same as multiplying by 2%.

The fraction 1/5 is the same as the decimal 0.8. Therefore, 1/5d can be written as 0.8d.

The expressions are not equivalent.

Answers

Answer:

I dont even know man I wish I knew too

Giving brainly and points

Answers

Answer: B) −8x − 9

Step-by-step explanation:

5 − 2 (4x + 7)

Apply the distributive property.

5 − 2 (4x) − 2 ⋅ 7

Multiply 4 by −2.

5 − 8x − 2 ⋅ 7

Multiply −2 by 7.

5 − 8x − 14

Subtract 14 from 5.

−8x − 9

hope this helps :)

Answer:

b

Step-by-step explanation:

5-2(4x+7)

distribute

-8x-14

5-8x-14

5-14=-9

-8x-9

Division number story with the answer 5/2

Answers

Answer:

I have one below (It's kind of simple though..)

Step-by-step explanation:

Harry Had 5 Potions he made in Potions Class. He would like to share the 5 potions with his 2 friends, Ron and Hermione. How many potions do they each get? Write the equation for how many each person gets in fractional form

(This is a simple one I don't have a complicated one..)

hey its me againnnnnnn i need some help here =v=

Answers

Answer:

Step-by-step explanation:

42 square units

so like imma ask dis one more time

Answers

Answer:

1/4+1/32

Step-by-step explanation:

1/4+1/4=1/2

1/32+1/32=1/16

I hope this helps:

You buy 11 bagels with a $20 bill. How much change do you receive?

Answers

can’t answer the question without knowing the price of the bagels

well 6 bagels cost $7.50  and you bought 11 bagel with a $20 dollar bill

so answer that

While you were at school you hear two students talking about an online business that pays a
piecework rate of $0.02 for stuffing envelopes. One of them says that he was able to stuff 4,382
envelopes during the week. How much was the student's gross pay rounded to the nearest
cent? Do not include a dollar sign in your answer. I got 8.764, is this answer correct ?

Answers

No 87.64 is the correct answer

I need help on question a and b. please help me asap?!?!?

Answers

It isn’t possible to draw a graph on here

In the graph of an inequality, the region to the right of a dashed vertical line
through the point
(-4,0) is shaded. What inequality does the graph represent?

Answers

Answer:

x is greater than -4

Step-by-step explanation:

Answer:

x > -4

Step-by-step explanation:

The table shows the time Merrida spent driving and the number of miles she drove. She drove the same number of miles each hour.

Merrida’s Driving Time and Distance
Miles
Hours
140
4
175
5
210
6

How many miles did she travel each hour?
23 miles per hour
35 miles per hour
42 miles per hour
53 miles per hour

Answers

Answer:

35 miles per hour.

Step-by-step explanation:

140÷4=35

!75÷5=35

210÷6=35

Answer:

❌23 miles per hour

✅35 miles per hour

❌42 miles per hour

❌53 miles per hour

Go follow me on T I k T o k  aiyana_parker

PLEASE HELP | WILL GIVE BRAINLY IF RIGHT | LOOK AT IMAGE

Answers

Answer:

Town C

Step-by-step explanation:

the answer is town C

What are the zeros of the function (x) = x2 – 3x+2?

Answers

Step-by-step explanation:

f(x) = x² - 3x + 2 = (x - 2)(x - 1).

When f(x) = 0, (x - 2)(x - 1) = 0.

=> x = 2 or x = 1.

Help plz i hate this but everytime I do this I get it worng

Answers

Answer:

The answer is 19.25

Step-by-step explanation:

Key skills needed: Fraction operations, decimal conversion

1) We are given the hint to use 9 as "b", and we get:

---> [tex]a = \frac{16}{8}(9) + \frac{10}{8}[/tex]  

Let's do  [tex]\frac{16}{8}(9)[/tex]

--> [tex]\frac{16}{8}[/tex] is the same as [tex]16[/tex] ÷ [tex]8[/tex]

16 divide by 8 is 2.

2) This means that it would be  ---> [tex]2(9)[/tex]  which is simply 2 times 9.

2 times 9 = 9 + 9 = 18

3) With that result, it would be  ---> [tex]a = 18 + \frac{10}{8}[/tex]

Now, do [tex]\frac{10}{8}[/tex] (10 divided by 8)  ---> Get 1.25

4) 18 + 1.25 = 19.25, so --> [tex]a = 19.25[/tex] is the answer

Hope you understood and have a nice day!!   :D

Terri has a tepee. The tepee has a diameter of 9 feet and a height of 6 feet. What is the volume of the tepee to the nearest foot?

Answers

Answer:

yuop

Step-by-step explanation:

sdfghmnfv tnymu nhghbergfhthetdhtrsdfbgtgtsghrt

Sushil and Fiona win some money and share it in the ratio 4:1. Sushil gets £33 more than
Fiona. How much did they get altogether?

Answers

Sushli 4x
Fiona x
Sushli x+33
X+33=4x
3x=33
x=11

x+4x=5x=£55

Solve the equation for m. Show your work on the canvas. Move -n by using opposite operation. Then just write the equation as is. This is a one step equation. 4=m−n

Answers

Answer:

m = 4+n

Step-by-step explanation:

Given the expression 4 = m-n, we are to make m the subject of the formula

From the equation

4 = m-n

Rearrange

m-n = 4

Add n both sides of the equation

m-n+n = 4+n

m+0 =4+n

m = 4+n

Hence the expression for m is given as m = 4+n

Graph

y−2=23(x+4)


I don’t no how to graph so plz help me

Answers

Answer: This file i added shows the graph. If it doesnt help, then you can use M.a.th w.a.y to find the graph

Step-by-step explanation:

Label the imagine I need to finish this

Answers

Phosphate A
Sugar D
Nucleotide B
Nitrogen base C
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