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
kirill115 [55]
3 years ago
11

A building casts a shadow that is 18 ft long. A woman standing near the building is 5.75 ft tall and 4 feet long. What is the he

ight of the building in feet?
Mathematics
1 answer:
Lynna [10]3 years ago
5 0

Answer:

25 feet 6 inches

Step-by-step explanation:

Assuming that the woman is standing up straight, you have a situation where you have two similar right triangles. The legs of the smaller triangle are the woman's height and the length of her shadow, and the legs of the larger triangle are the building's height and the length of its shadow. We know that the sides of similar triangles are proportional, so we can write:

5ft8in =2ft=x%2Aft%2F18ft

Now you need to cross-multiply and solve for x, but multiplying feet times feet and inches is a messy calculation. Changing 5 ft 8 inches to 5 and 2/3 feet is messy also. My recommendation is to convert everything to inches, and then convert back to feet and inches when you are done.

5 ft 8 inches = (5 *12) + 8 = 68 inches

4 ft = 4 * 12 = 48 inches, and

18 ft = 18 * 12 = 216 inches.

Now the proportion looks like:

68%2F48=x%2F216, so

48x=14688 after cross-multiplying, and

x=306 after dividing by 48. So the building is 306 inches tall. But we want to know the height of the building in feet and inches. To convert back to feet and inches from inches, just do integer division by 12 where your answer is expressed as a quotient and a remainder. The quotient is the number of feet, and the remainder is the number of inches.

306 = 25 remainder 6, so the answer is 25 feet 6 inches.

Note that this answer makes sense. 5'8" is nearly 6'. 6' is one and a half times 4 feet, so the woman is a little less than one and a half times taller than her shadow is long. One and a half times the building's 18 ft shadow is 27 feet, and that is a little bit more than the 25'6' answer that we

You might be interested in
Find three consecutive even integers whise sum is 222
dangina [55]

74....74....74............

6 0
3 years ago
Read 2 more answers
What is the mode for the set of data? 6,7,10,12,12,13<br><br> 10<br> 12<br> 13<br> 11
KonstantinChe [14]
12
because it is the only number that appears more than once which is basically the definition of mode.
4 0
3 years ago
Sam takes x minutes yo walk from home to library and 5 minutes more to walk from the library to school than fron home to the lib
LuckyWell [14K]

Answer:

2x+5\ minutes

Step-by-step explanation:

Given:

Sam takes x minutes yo walk from home to library.

And takes 5 minutes more to walk from the library to school than from home to the library.

Express the total time taken for Sam to walk from home to school via the library in terms of x.

<u>Solution:</u>

Time taken by Sam to walk from home to library = x\ minutes

Time taken by Sam to walk from library to school = x+5\ minutes

Total time taken by Sam to walk from home to school via the library = Time taken to walk from home to library + Time taken to walk from library to school

Total time taken = x+x+5=2x+5

Therefore, the total time taken for Sam to walk from home to school via the library is 2x+5\ minutes

8 0
2 years ago
completa con las razones trigonométricas de cada triángulo rectángulo dado y encuentra el lado faltante aplicando el teorema de
Rus_ich [418]

primero vamos a calcular el lado faltante usando el teorema de pitagoras para poder obtener el lado faltante a

a=\sqrt[]{hipotenusa^2-cateto^2}a=\sqrt[]{100^2-85^2}=52.68

a=52.68 m

teniendo el lado faltante podemos calcular las razones trigonometricas

\sin (55)=\frac{85}{100}=0.85\cos (55)=\frac{52.68}{100}=0.52\tan (55)=\frac{85}{52.68}=1.61

\csc (55)=\frac{100}{85}=1.17\sec (55)=\frac{100}{52.68}=1.89\cot (55)=\frac{52.68}{85}=0.61

4 0
1 year ago
Standard form for y=mx+b​
butalik [34]

Answer:

that's standard form for slope

Step-by-step explanation:

have a nice day :)

5 0
2 years ago
Other questions:
  • Write the fraction 29/7 as a repeating decimal
    11·1 answer
  • PLEASE HELP, GIVING 25 POINTS!!!!<br><br> Fill in the blank.<br> (5x)^2 = ___ x^2
    9·1 answer
  • You sell pies at a farmers' market for $7.50 each. A group of 5 kids wants to pitch in equal1y to share one of your pies. How mu
    5·2 answers
  • Find the midsegment of triangle ABC so that it is parallel to side BC and label it as segment EG on the graph coordinate of E: _
    10·1 answer
  • છે કે.what does x equal​
    10·1 answer
  • Joe earned $2,400 this year. last year he earned $1,800. this year's earning were percentage of last year's.​
    8·1 answer
  • Find the value of x in the triangle below
    14·1 answer
  • NEED HELP ASAP (please and thank you)
    13·2 answers
  • Given h(t) = -2(t+ 5)^2 +4, find h(-8).
    8·1 answer
  • Find k.<br> 10 mi<br> 60⁰<br> K<br> 30⁰
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!