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
Oduvanchick [21]
3 years ago
12

A woman standing on a hill sees a flagpole that she knows is 40 ft tall. the angle of depression to the bottom of the pole is 14

°, and the angle of elevation to the top of the pole is 18°. find her distance x from the pole.
Mathematics
1 answer:
NemiM [27]3 years ago
6 0
Let distance form the pole = x  and height of the hill = y ft

now we can set up 2 equayions 
tan 18 = (40-y)/x
tan 14 = y/x

from second equation y = sxtan14  so we have:-
 tan 18  = ( 40 - x tan 14) /  x

x tan 18 = 40 - x tan 14
x(tan 18 + tan 14) = 40

x   = 40 / (tan18 + tan 14)  =  69.66 feet Answer



You might be interested in
If the area of a right-angled triangle is 47 56 cm and its height is 11.6 cm. finds its base.​
Wewaii [24]

Answer:

820          

Step-by-step explanation:

Hi so if your area is 4756, the base would be 820

8 0
3 years ago
One root of is x = 6. What are all the factors of the function? Use the Remainder Theorem.
makkiz [27]
3 and 2 should be the only roots
8 0
3 years ago
What is the correct answer to x^2+y^2+4x-2y=-1
alexdok [17]

Answer:

hold on the answer in the picture

Step-by-step explanation:

sry for it being so blurry

5 0
2 years ago
Explain how multiplying fractions is similar to multiplying whole numbers and how it is different
Crazy boy [7]
 You just multiply the top and bottom numbers like it was two normal multiplication problems. Ex. 3/4x1/4=3/16 (3x1,4x4) But its different because you have to put them together to make a fraction (3/16).
 
8 0
3 years ago
A gift box’s rectangular base has a perimeter of 92 centimeters. The length of the base is one more than twice the base’s width.
kozerog [31]
Assume that the length of the rectangle is "l" and that the width is "w".

We are given that: 
(1) The length is one more than twice the base. This means that:
l = 2w + 1 .......> equation I
(2) The perimeter is 92 cm. This means that:
92 = 2(l+w) ...........> equation II

Substitute with equation I in equation II to get the width as follows:
92 = 2(l+w)
92 = 2(2w+1+w)
92/2 = 3w + 1
46 = 3w + 1
3w = 46-1 = 45
w = 45/3
w = 15

Substitute with w in equation I to get the length as follows:
l = 2w + 1 
l = 2(15) + 1
l = 30 + 1 = 31

Based on the above calculations:
length of base = 31 cm
width of base = 15 cm
3 0
3 years ago
Other questions:
  • What is the surface area of the figure shown below?
    10·1 answer
  • The art museum has 7 floors each floor has 4 rooms with 25 paintings in each room what is the total of paintings in the museum
    8·1 answer
  • What is 25 divided by 28
    12·2 answers
  • Kevin gets and auto loan of $12,000 at 8% annual interest. The terms of his loan state that he has to pay 292.96 each month for
    9·1 answer
  • (2x-10)(x+3)<br> Simplify each expression
    6·2 answers
  • How much greater is the volume of the large truck than thr volume of the small truck
    14·1 answer
  • PLZZZ HELP I DONT UNDERSTAND THIS AT ALLLLLL. :( :(
    11·1 answer
  • One gallon of paint usually covers 350 square feet.How many square feet will 2.5 gallons cover?
    10·2 answers
  • Simple Math!! 2581 ÷ 21
    9·2 answers
  • Find the output, k, when the input, t, is 3 for k(t)=10t−2. k(3)=
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!