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Natalka [10]
3 years ago
14

From where Kiana is standing, she must look up at a 50° angle to see the top of a building. If she backs up 50 feet, she will ne

ed to look up at a 40° angle to see the top of the same building. Approximately how tall is the building?

Mathematics
2 answers:
Morgarella [4.7K]3 years ago
5 0
For this case, what we must do is solve the following system of equations:
 tan (50) = h / x
 tan (40) = h / (x + 50)
 Solving the system we have:
 (x + 50) * tan (40) = h
 (x) * tan (50) = h
 Matching:
 (x + 50) * tan (40) = (x) * tan (50)
 Rewriting:
 x (tan (50) - tan (40)) = 50 * tan (40)
 x = 50 * tan (40) / (tan (50) - tan (40))
 x = 118.9692621
 Substituting:
 h = (x) * tan (50)
 h = (118.9692621) * tan (50)
 h = 141.7820455
 Answer:
 
The height of the building is:
 
h = 141.7820455 ft
Vikentia [17]3 years ago
5 0

Answer:

B. 141.8ft

Step-by-step explanation:

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Someone pls help 0xy + 32y
Thepotemich [5.8K]

Answer:

32y

Step-by-step explanation:

0xy=0

If you change x or y on any number, you will get 0: 5*0=0, 100*0=0

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3 years ago
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sasho [114]

Answer:

Step-by-step explanation:

THE TRICK HERE IS TO DISTRIBUTE THE MINUS SIGN TO THE SECOND TERM.

(6X+5)-(X-3)=

6X+5-X+3   (REMEMBER A NEGATIVE TIMES A NEGATIVE EQUALS A POSITIVE)

NOW COMBINE LIKE TERMS.

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3 years ago
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FACTOR EACH EXPRESSION, IF IT CANT BE FACTORED WRITE CANNOT BE FACTORED. 1. 4x+12
dimaraw [331]
1.) 4(x+3)
Find the GCF, Greatest Common Factor, of 4x and 12. 
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12=3*2*2
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Then, put the rest of the factors as a sum. (Only the factors on the same line.)
Solution: 4(x+3)

To check, distribute to see if it works.

4x+12

2.) 2(4r+7)
Find the GCF of 8r and 14
8r=2*2*2*r
14= -1*7*2
The greatest common factor is 2.                                                                 (There is only 1 two, so you would not multiply them.)
Then, put the rest of the factors as a sum. (Only the factors on the same line.)
Multiply the 2*2*r as one addend and the -1*7 as the other.
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To check, distribute to see if it works.

8r-14

Do you get it now?

3.) 5(x+7)
4.) 7(2x+1)
5.) Cannot be factored.

32x-15
Find the GCF of 32x and -15

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7.) 3(2x-3)
8.) 24(1x+2)
9.) 9(-2x+8)
10.) Cannot be factored
11.) 8(1x+3)
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4 0
3 years ago
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Given the line 2x - 3y - 5 = 0, find the slope of a line that is perpendicular to this line. ​
sweet [91]

Answer:

The slope of the line would be -3/2.

Step-by-step explanation:

Let's get this equation into the proper slope form:

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2 years ago
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