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
barxatty [35]
3 years ago
9

A 6-foot man walks on level ground toward a 60 foot flag pole. He notes different angles of elevation θ to the top of the pole w

hen he is different horizontal distances x away from the pole.
a) Express the man's horizontal distance from the base of the pole x (in feet) as a function of the angle of elevation θ in degrees. Type theta for θ.
b) Express the angle of elevation θ as a function of the man's horizontal distance to the base of the pole x.
Mathematics
1 answer:
krek1111 [17]3 years ago
5 0

Answer:

  a)  x = 54/tan(theta)

  b)  theta = arctan(54/x)

Step-by-step explanation:

a) The tangent ratio is the ratio of the side opposite an acute angle in a right triangle to the adjacent side. For the angle of elevation, the adjacent side is the distance x to the flagpole. The side opposite is the 54-foot difference between the top of the man's head and the top of the flagpole. So, we have ...

  tan(theta) = 54/x

Solving for x gives ...

  x = 54/tan(theta)

__

b) Solving the first equation in the previous part for theta involves the inverse tangent function:

  theta = arctan(54/x)

You might be interested in
Which expression is equivalent to 2^2divided by 2/2^4
Gnesinka [82]

Answer: 32

Step-by-step explanation:

The expression that is equivalent to 2^2 divided by 2/2^4 would be calculated as:

= 2^2 ÷ 2/2^4

= 4 ÷ 2/16

= 4 ÷ 1/8

= 4 × 8

= 32

The expression would be equal to 32 based on the above calculation

4 0
3 years ago
To make punch, Sophia mixes 2 liters of clear soda with 70 centiliters of cranberry juice and 236 milliliters of pineapple juice
mihalych1998 [28]
2.936 liters of punch...or 2,936 milliliters...or 293.6 centiliters.
6 0
3 years ago
Read 2 more answers
Using coupons you spell $91 grocery shopping this is 65% of the total retail price of groceries how much would you have spent if
Andrews [41]
$140 because

$91 divided by 65 is 1.4
1.4 times 100 is 140
3 0
3 years ago
A right triangle has sides of lengths 18 ​, 24 ​, and 30 units. What is the area of the​ triangle? Draw the shape on a grid to h
Elden [556K]

Answer:216

Step-by-step explanation:The formula to find the area of a triangle is Length times Base divided by 2. The length of the triangle could be 18 or 24, but that doesn’t matter. The base could also be 18 or 24, but that also doesn’t matter, because the hypotenuse (the longest part of a right triangle, in this case being 30), is not a part of the formula. 18 times 24 is 432, and 432 divided by 2 is 216. So the area is 216

7 0
3 years ago
A mapping diagram showing a relation, using arrows, between input and output for the following ordered pairs: (negative 3, negat
VladimirAG [237]

Answer:

The correct option is A)  {x | x = –5, –3, 1, 2, 6}

Step-by-step explanation:

Consider the provided diagram.

Here the left side represents the input (X) values and the right side represents the output (Y) values.

The domain refers to the set of possible input values.

Now consider the provided figure, the set of input value is:

{x | x = –5, –3, 1, 2, 6}

Hence, the correct option is A)  {x | x = –5, –3, 1, 2, 6}

5 0
3 years ago
Read 2 more answers
Other questions:
  • Is 40% less than or greater than 1/4
    8·1 answer
  • Antonio has a kite, in the directions on how to put the kite together it says that the drawing is to scale where 10 cm = 1 meter
    11·1 answer
  • Solve for the equation. 4x - 13 = 2x + 9
    11·2 answers
  • Which of the following is a polynomial with roots: − square root of 3, square root of 3, and −2?
    14·1 answer
  • Which of the following is the equation of a line perpendicular to the line y=-1/3x+1, passing through the point (2,7)?
    13·2 answers
  • Which angle measures are correct? Select three options. mAngle2 = 125° mAngle3 = 55° mAngle8= 55° mAngle12 = 100° mAngle14 = 100
    12·1 answer
  • Please need help it’s due today.
    13·1 answer
  • Which linear function has the steepest slope? On a coordinate plane, a line goes through points (0, 1) and (1, negative 2). A 2-
    10·2 answers
  • : 6 = 0.2<br><br>what divided by 6 equals 0.2 ?<br>​
    12·1 answer
  • It cost Mr. Phillips $36 to buy tickets to the fair for his 4 kids is there an y=kx expression for this
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!