1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Slav-nsk [51]
3 years ago
11

A flagpole is located at the edge of a sheer y = 70-ft cliff at the bank of a river of width x = 40 ft. See the figure below. An

observer on the opposite side of the river measures an angle of 9° between her line of sight to the top of the flagpole and her line of sight to the top of the cliff. Find the height of the flagpole.
Mathematics
1 answer:
Gnom [1K]3 years ago
7 0
I would solve this using tangents.  Let h be height of flagpole.
Set up 2 right triangles, each with a base of 40.
The larger triangle has height of "h+70"
Smaller triangle has height of 70.

Now write the tangent ratios:
tan A = \frac{h+70}{40}  , tan B = \frac{70}{40}

Note: A-B = 9
To solve for h we need to use the "Difference Angle" formula for Tangent
tan (A-B) = \frac{tanA - tanB}{1+tan A  tan B}
Plug in what we know:
tan(9) = \frac{ \frac{h+70}{40} -  \frac{70}{40}}{1+ (\frac{h+70}{40})(\frac{7}{4})}
tan (9) = \frac{ \frac{h}{40}}{ \frac{7h +650}{160}} = \frac{4h}{7h+650}
h = \frac{650 tan(9)}{4-7 tan(9)}
h = 35.6
You might be interested in
Which number is between 6 1/8 and /64?
gayaneshka [121]
I think the answer is D but I’m not sure
6 0
3 years ago
Which number is equivalent to 0.15×1000<br> Which number is equivalent to 0.15 ×1000
Alona [7]

Answer:150

Step-by-step explanation:

0.15 x 1000

15/100 x 1000

(15 x 1000) ➗ (100 x 1)

15000 ➗ 100=150

5 0
3 years ago
The probability distribution of random variable, X, is defined as follows:
stealth61 [152]

Answer and Step-by-step explanation:

A) For the model to be a probability distribution, it has to follow two conditions:

1) The probability of each value of the discrete random variable is between, and included, 0 and 1:

2) The sum of all probabilities is 1;

In the table shown, the probabilities are from 0 to 0.3 - between 0 and 1;

Adding the probabilities: 0 + 0.3 + 0.1 + 0.3 + 0.3 = 1

Therefore, this model is a valid probability distribution model.

B) They are discrete because each value correspond to a finite number of possible values.

C) Expected value is calculated by

E(X) = \Sigma xP(x)

E(X) = 0.0 + 1*0.3 + 2*0.1 + 3*0.3 + 4*0.3

E(X) = 2.6

D) P(X=3) = P(3), which means probability of 3:

P(X=3) = 0.3

E) P(X<4): probabilities of values of X that are less than 4:

P(X<4) = P(0) + P(1) + P(2) + P(3)

P(X<4) = 0 + 0.3 + 0.1 + 0.3

P(X<4) = 0.7

F) P(X>0) = P(1) + P(2) + P(3) + P(4)

P(X>0) = 0.3 + 0.1 + 0.3 + 0.3

P(X>0) = 1

G) P(X=5) = P(5)

There is no probability of P(5) because the model doesn't "cover" that number.

H) P(X=0) = P(0)

P(X=0) = 0

I) The total area of any density curve is 1 because it represents all the possible values a variable can assume.

3 0
3 years ago
Solve the equation for z <br>5z-8=32<br>A. z=4<br>B. z=4.8<br>C. z=6<br>D. z=8​
nadezda [96]

Answer:

Z=8 is the answer

Step-by-step explanation:

first, you add 8 to both sides which leaves you with 5z=40. then after that you divide both sides by 5 which leaves you with 5/5z = 40/5. then buy dividing 5 by 5 its leaves you with 1 which is equal to z because blank variables equal 1. On the other side if the equation 40 by 5 is 8 so that leaves you with z=8

5 0
2 years ago
Read 2 more answers
If the sum of 9 and 3x is 4 more than 13, what is the value of 12x?
yuradex [85]

Answer:

1

Step-by-step explanation:

im not very confident about this answer but it should work

4 0
2 years ago
Other questions:
  • the debate team is showing a video of their recent debate. the first showing begins at 3:15 P.M. The second showing is scheduled
    7·2 answers
  • Henry sells rings for $8 each. His expenses are $1.50 per ring, plus $91 for supplies. How many rings does he need to sell for h
    13·2 answers
  • Thanks for the help
    14·2 answers
  • Among the licensed drivers in the same age group, what is the probability that
    8·2 answers
  • what do the following two equations represent? please help 4x+2y= 10 4x-2y= -10 a) the same line b) distance parallel lines c) p
    12·1 answer
  • Consider the statement “x is a number such that x &lt; 2
    14·1 answer
  • Sean has 9 liters of juice. He pours equal amounts of the juice into 4 pitchers. There is 0.5 of a liter of juice left. How many
    9·1 answer
  • PLEASE HELP! 20 POINTS
    7·1 answer
  • Find the requested values pleasee and also what m
    8·1 answer
  • Select the correct choice and fill in the answer box
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!