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
DiKsa [7]
3 years ago
7

An ant looks to the top of a bulding at an angle of elevation of 32°. The ant then walks an additional 66 feet from the edge of

the building. If the new angle of elevation from the ant to the top of the building is 22°, find the height of the building. Round to the nearest tenth
Mathematics
1 answer:
Keith_Richards [23]3 years ago
8 0
Let the height of the building be x. Let the initial distance of the ant from the building be y, then
tan 32 = x/y
y = x/tan 32 . . . . . . . . (1)
tan 22 = x/(y + 66)
y tan 22 + 66 tan 22 = x
y = (x - 66 tan 22)/tan 22 . . . . . . . . (2)
Equating (1) and (2), we have
x/tan 32 = (x - 66 tan 22)/tan 22
x tan 22 = x tan 32 - 66 tan 22 (tan 32)
x(tan 32 - tan 22) = 66 tan 22 (tan 32)
x = (66 tan 22 (tan 32))/(tan 32 - tan 22) = 66(0.4040)(0.6249)/(0.6249 - 0.4040) = 16.6626/0.2208 = 75.4

Therefore, the height of the building is 75.4 feet.
You might be interested in
7TH GRADE MATH!!! NEED ASAP
olganol [36]

Answer:

second choice

Step-by-step explanation:

4 0
3 years ago
ben has bundled cable television and internet service. he pays $89.92 each month for the service. how much will he pay per year
stiv31 [10]

Answer:

$1,079.04

Step-by-step explanation:

multiply: 89.92x12=1078.04

4 0
3 years ago
The graph of f(x) = x3 + 6x2 + 12x + 8 is shown. Based on the graph, how many real number solutions does the equation x3 + 6x2 +
lianna [129]
SEE ATTACHED IMAGE TO OBSERVE THE GRAPH OF THE FUNCTION.
 For this case, the first thing we should see are the cut points with the x axis.
 We note that the graph cuts to the x-axis at x = -2
 Therefore, x = -2 is the real solution to the polynomial.
 Also this function:
 x3 + 6x2 + 12x + 8
 It can be rewritten as:
 (x + 2) ^ 3
 From where we conclude that its roots are:
 x = -2 (with multiplicity 3)
 Answer:
 
the equation x3 + 6x2 + 12x + 8 = 0 have:
 
x = -2
 
As a real solution with multiplicity 3.

5 0
3 years ago
Read 2 more answers
Find the slope and y-intercept of the graph of the equation. show your work please.
choli [55]

Answer:

<h2>A. the slope is 8.</h2><h2>A. the y-intercept is 1</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y = mx + b

m - slope

b - y-intercept

We have the equation y = 8x + 1.

Therefore:

m = 8, b = 1

5 0
4 years ago
Somebody hop on my a chat 557+50
dangina [55]

Answer:

607

Step-by-step explanation:

557+50=607

5 0
3 years ago
Other questions:
  • Need to evaluate 256 and fraction 1/4
    5·1 answer
  • How to find out how many number combinations if numbers cannot repeat?
    7·1 answer
  • a 44 miles walk has 3 checkpoints. the first one is 13 1/8 miles from the starting point . the 2nd is 20 1/4 miles from the firs
    5·1 answer
  • A water tank contains 60 gallons of water and is leaking at a rate of 15 gallons per
    14·1 answer
  • What’s the size of angle x
    7·1 answer
  • A triangular prism with an equilateral triangle as its base has a volume of 64.98 cubic centimeters, a base area of 10.83 square
    10·1 answer
  • Which system of linear inequalities is represented by the
    6·1 answer
  • I need help really bad
    13·2 answers
  • Simplify the following:<br><br> (8p−2)(6p+2)
    6·2 answers
  • PLEASE HELP!!!!!!!!!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!