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
Maru [420]
3 years ago
14

The lighthouse on the beach casts a shadow that is 48 feet long. Your friend is 5.5 feet tall and casts a shadow that is 2.2 fee

t long. What is the height of the lighthouse?
Mathematics
2 answers:
Deffense [45]3 years ago
3 0
Let H = height of the lighthouse
5.5/2.2 = H/48
5/2 = H/48
H = 5*48/2 = 120 feet
Ilya [14]3 years ago
3 0

Answer: The height of the lighthouse= 120 feet.


Step-by-step explanation:

Let the shadow cast by lighthouse on the beach and the friend occur on the same time, then the triangle formed by lighthouse and its shadow and the triangle formed by friend and its shadow must be similar.

We know that the sides of two similar triangles are proportional.

Therefore,

\frac{\text{height of lighthouse}}{\text{length of shadow cast by lighthouse}}=\frac{\text{height of friend}}{\text{length of shadow cast by friend}}

\\\Rightarrow\frac{\text{height of lighthouse}}{48}=\frac{5.5}{2.2}\\\Rightarrow\text{height of lighthouse}=\frac{5.5}{2.2}\times48\\\Rightarrow\ \text{height of lighthouse}=5\times24=120\ feet


You might be interested in
The quotient of five times a number and 7 is no more than 10
forsale [732]

5n/7≤10 is the correct answer.

3 0
3 years ago
How do I solve 6x—20=
REY [17]

Answer:

Can not be determined

Step-by-step explanation:

regularly, you would +20 to both sides, but without a full =, you cant solve. If the equation is 6x-20=0, x would equal 3 2/6.

Hope this helps!

4 0
3 years ago
Read 2 more answers
Movies are on sale for 3/4 the original price. If the original price is $10, what is the sale price?
baherus [9]
\frac{3}{4}\ of\ the\ original\ price=\frac{3}{4}\times\$10=\left(\frac{3}{4}\times\frac{10}{1}\right)\$=\frac{3\times10}{4\times1}\$\\\\=\frac{30}{4}\$=\frac{28+2}{4}\$=\boxed{\boxed{7\frac{2}{4}\$=7\frac{1}{2}\$=\boxed{\$7.50}}}
4 0
2 years ago
Read 2 more answers
(a+13)(a-8) using standard formulae expand​
Viktor [21]
The answer is a^2 + 5a - 104 I think
4 0
3 years ago
Sam wants to buy 8 pencils and 6 pens, which cost a total of $8.50. He realizes he doesn't have enough cash and instead takes on
ikadub [295]

Answer:

A. pen, $0.75; pencil, $0.50.

step-by-step explanation: .75x4=$3.00. .50x4=$2.00 . $3.00+$2.00=$5.00



8 0
2 years ago
Read 2 more answers
Other questions:
  • How do you figure out whether a fraction will be a terminating decimal or a repeating decimal?
    7·1 answer
  • Evaluate the function x=2 g(x)=-4x
    6·1 answer
  • True or False<br> The geometric mean of 8 and 2 is 4.
    9·2 answers
  • Which of the following is an equivalent expression to: 17b – 8b + 4b – 3b?
    10·2 answers
  • The sum of three consecutive integers is 9.
    14·1 answer
  • Hey guys I need help, what is 12-(3)+7?
    11·1 answer
  • SOMEONE PLEASE HELP! I need to find the value of X and round to the nearest tenth
    8·1 answer
  • Please help me i don’t understand it
    9·1 answer
  • Find the area of the figure.
    8·1 answer
  • Identify the variation as a direct, inverse, joint, or combined.<br> xy/z=c
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!