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
aliya0001 [1]
3 years ago
8

The sun casts a shadow from a flag pole. The height of the flag pole is three time the lenght of its shadow. The distance betwee

n the end of the shadow and the top of the flag pole is 20 feet. Find the height of the flag pole

Mathematics
2 answers:
Alex73 [517]3 years ago
6 0

Answer:

The height of the flag pole will be = 18.96 ft.

Step-by-step explanation:

See the attached diagram.

AB is the flag pole and the length of the shadow is AC.

Now, Δ ABC is a right triangle and has AB = 3x ft., BC = 20 ft. and AC = x ft.

So, applying Pythagoras theorem ,

AB² + AC² = BC²

⇒ (3x)² + x² = 20²

⇒ 10x² = 400

⇒ x² = 40

⇒ x = 6.32 ft. (Approx.)

So, the height of the flag pole will be = 3x = 3 × 6.32 = 18.96 ft. (Answer)

kvv77 [185]3 years ago
3 0

Answer:

The height of the flag pole = 6\sqrt{10} feet

Step-by-step explanation:

Let us consider, the length of the shadow = x

According to the question,

The length of the flag pole = 3 times length of the shadow.

                                             = 3x

From the figure, By "Pythagoras theorem",

       x^{2} + (3x)^{2} = 20^{2}\\

          x^{2} + 9x^{2} = 400

                 10x^{2} = 400\\    x^{2} = 40\\         x  = \sqrt{40} \\         x  = 2\sqrt{10}

So, The length of flag pole = 3\times x

                                             = 3\times2\sqrt{10} = 6\sqrt{10} feet

You might be interested in
Liz received a gift of 9 songs for her birthday. She buys an additional 3 songs each month.
stellarik [79]

Answer:

9+3

= 12

Step-by-step explanation:

9 +3 +

10

11

12

4 0
3 years ago
Read 2 more answers
20p to whoever helps! (OwO)
Anni [7]

Answer:

See below

Step-by-step explanation:

4 more than 3: 3 + 4 = 7

5 out of 9: 5/9

the sum of 6 and 8: 6 + 8 = 14

10 less than 14: 14 - 10 = 4

the product of 3 and 4: 3 * 4 = 12

the ratio of 2 to 3: 2/3

10 decreased by 8: 10 - 8 = 2

the quotient of 23 and 25: 23/23

3 increased by 33: 3 + 33 = 36

50% of 32: 50% * 32 = 0.5 * 32 = 16

4 0
3 years ago
Read 2 more answers
Please help!! Use the information from this table to answer the questions
kogti [31]

Answer:

im pretty sure it’s a line graph

Step-by-step explanation:

it would make the most sense because the years are going in chronological order

7 0
3 years ago
If 1,050 females participated in the study, how many females prefer purple?
amm1812
1050 females
23% prefer purple

1050 : 100 *23 =
241.5 females prefer purple

6 0
3 years ago
Read 2 more answers
This is hard i need help
lozanna [386]

Answer:

X=105

Step-by-step explanation:

Add angles

55+50 = 105

subtract from 180

180-105 = 75

it’s consecutive angles so subtract from 180

180-75 = 105

7 0
2 years ago
Read 2 more answers
Other questions:
  • Please help. 10 points
    6·1 answer
  • What is the product of 136.4 and 0.47?
    7·2 answers
  • How many thousands can go into 90 hundreds
    10·1 answer
  • Please help me I need help
    5·1 answer
  • Please help me.<br> Solve for x in the diagram below:
    9·2 answers
  • 2. The number of students in a classroom is 6 more than 4 times the number of teachers. There are 15 teachers. How many students
    8·1 answer
  • Find the percentage decrease when 94 decreases to 23.5​
    10·2 answers
  • Find the intervals of DECREASING only and write in below in interval<br> notation.
    8·1 answer
  • A supermarket offers a delivery service. If a customer pays $9 per month, each delivery costs just $2. Write an equation that sh
    6·1 answer
  • The box plots record data on annual
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!