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viva [34]
2 years ago
8

a 28 ft. ladder leaning against a vertical wall makes an angel of 80 degrees with the ground. How far from the base of the wall

is the foot of the ladder?

Mathematics
1 answer:
worty [1.4K]2 years ago
3 0

Answer:

The ladder is 4.86 foot from the base of the wall .

Step-by-step explanation:

Given as :

The length of the ladder = 28 ft

The ladder makes angle of 80° with the ground

Let The distance of the ladder from the foot of the wall = x ft

Now, From Triangle BAC

Cos angle = \dfrac{\textrm Base}{\textrm Hypotenuse}

I.e Cos 80° = \dfrac{\textrm BA}{\textrm AC}

Or, 0.1736 =  \dfrac{\textrm x}{\textrm 28}

Or, x = 0.1736 × 28

∴  x = 4.86 foot

So, The distance of ladder from wall base = x =  4.86 foot

Hence The ladder is 4.86 foot from the base of the wall . Answer

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Two angles are complementary their difference is 26 degrees find the measures of each angles
Nuetrik [128]

Good morning ☕️

Answer:

<h2>32° and 58°</h2>

-by-step explanation:

Let x be the measure of angle 1

and y be the measure of angle 2

The Two angles are complementary

means

x + y = 90

their difference is 26 degrees

means

x - y = 26

x + y = 90 (1)

x - y = 26  (2)

(1) - (2) ⇒2y = 64 ⇒ y =32°

therefore x = y + 26 = 58°

___________________________

:)

4 0
3 years ago
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Tickets to the zoo cost $12 for adults and $8 for children. The school has a budget of $240 for the field trip. An equation repr
Oxana [17]

Answer:

18 children

Step-by-step explanation:

Given

240 = 12x +8y

<em>Required (missing part of the question):</em>

<em>Number of children that will be able to go to the zoo if 8 adult tickets are purchased</em>

 

<em>The graph is missing. However, the question can be solved without the graph.</em>

<em />

From the question and equation, we can deduce the following:

  • x represents adults
  • y represents children

So, when 8 adult tickets were sold.

This means

x = 8

Substitute 8 for x in 240 = 12x +8y

240= 12 * 8 + 8y

240= 96+ 8y

Subtract 96 from both sides

240 - 96 = 96 - 96 + 8y

144 =  8y

8y = 144

Solve for y

y= \frac{144}{8}

y= 18

<em>This means that 18 children will be able to go</em>

5 0
2 years ago
I have 5 minutes to put the answer in
Sholpan [36]

Answer:

-8

Step-by-step explanation:

Y=mx+b, m=slope

in this case -8 is the m

8 0
2 years ago
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CAN SOMEONE WHO KNOWS HOW TO DO THIS PLEASE HELP ME
7nadin3 [17]
Firstly start off with finding the lowest common multiple of 14 and 24. The LCM would be 168. Then you would look at your powers, here you have to choose the highest power of each letter. So 14x^4 and 24x^6 the highest is x^6, then for y it would be y^6 and then for z it would be z^8. So altogether your answer would be 168x^6y^6z^8
4 0
3 years ago
4x + 108 = 144 what is the value of x
ivann1987 [24]
Here is the correct answer.

4x + 108 = 144(equation)
     -108      -108 (Subtract 108 both sides)
4x = 36 (simplify)
/4      /4 (divide by 4)
x = 9 (Answer)
7 0
3 years ago
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