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laiz [17]
4 years ago
7

The base of a ladder is 25 meters due west of a burning building. If the angle of elevation of the ladder is 51°, how long is th

e ladder (round to the nearest meter)?
Mathematics
1 answer:
Tanzania [10]4 years ago
5 0

Answer: the length of the ladder is 40 meters.

Step-by-step explanation:

The ladder forms a right angle triangle with the wall and the ground.

The length of the ladder represents the hypotenuse of the right angle triangle.

The distance of the base of the ladder due west of the burning building represents the adjacent side of the right angle triangle.

To determine the length of the ladder, h, we would apply the cosine trigonometric ratio. It is expressed as

Cos θ = adjacent side/hypotenuse. Therefore,

Cos 51 = 25/h

h = 25/Cos 51 = 25/0.6293

h = 40 meters to the nearest meter.

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Please help like right now ABC = RSO<br> Find m
Alja [10]

Answer:

50⁰

Step-by-step explanation:

the 2 triangles are congruent, meaning the angles equal the same. angles B and S are the same, angles A and R are the same, and angles Q and C are the same (congruent)

6 0
3 years ago
Qbjsksnnfkkdnnwnnsiodnnjfkjbbskkxkkdn
iris [78.8K]

Answer:

There are 25 students in the class.

Step-by-step explanation:

Since we know the percentage of students who want an ice cream party is 20%, and 5 students want an ice cream party, we know that:

\frac{5}{S}=0.2

, where S is the total amount of students. We can then solve for S:

\frac{5}{S}=0.2 Given equation

5=0.2*S Multiply by S

25=S Divide by 0.2

Therefore, there are 25 students in the class.

7 0
3 years ago
Read 2 more answers
1.) -2(6 - 2x) = 4(-3 + x)<br> 2.) 5 - 1(2x + 3) = -2(4 + x)
Scrat [10]

Let's solve your equation step-by-step.

Question 1:   −2(6−2x) =4(−3+x)

 

Step 1: Simplify both sides of the equation.

−2(6−2x) =4(−3+x)

(−2) (6) +(−2) (−2x) =(4)(−3)+(4)(x)(Distribute)

−12+4x=−12+4x

4x−12=4x−12

 

Step 2: Subtract 4x from both sides.

4x−12−4x=4x−12−4x

−12=−12

 

Step 3: Add 12 to both sides.

−12+12=−12+12

0=0

Answer: All real numbers are solutions.

Question 2:  

Let's solve your equation step-by-step.

5−1(2x+3) =−2(4+x)

 

Step 1: Simplify both sides of the equation.

5−1(2x+3) =−2(4+x)

5+(−1) (2x) +(−1) (3) =(−2) (4)+(−2)(x)(Distribute)

5+−2x+−3=−8+−2x

(−2x) +(5+−3) =−2x−8(Combine Like Terms)

−2x+2=−2x−8

−2x+2=−2x−8

 

Step 2: Add 2x to both sides.

−2x+2+2x=−2x−8+2x

2=−8

 

Step 3: Subtract 2 from both sides.

2−2=−8−2

0=−10

 

Answer: There are no solutions.

 

8 0
3 years ago
What is a polynomial function
kakasveta [241]
Polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.
5 0
3 years ago
Read 2 more answers
∠1 ​ and ∠2 are supplementary. ∠1=124°∠2=(2x+4)° Select from the drop down menu to correctly answer the question.
Alex_Xolod [135]
Remark
Supplementary angles add up to 180o. 

Givens
<1 = 124
<2 = 2x + 4

I imagine you are looking for either x or <2. 

Equation
<1 + <2 = 180          Substitute the givens
124 + 2x + 4 = 180  Collect like terms on the left.
128 + 2x = 180         Subtract 128 from both sides
2x = 180 - 128          Collect like terms on the right   
2x = 52                     divide by 2
x = 52/2
x = 26 <<<<<<<<< answer

<1 = 124
<2 = 2x + 4 = 2*26 + 4
<2 = 52 + 4
<2 = 56  <<<<<<<< answer

We need choices if you want an exact answer.

3 0
4 years ago
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