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OLEGan [10]
3 years ago
10

An 8-ft ladder leans against the side of a house. How far is the bottom of the ladder from the side of the house when the angle

of elevation of the ladder is 75 7 Round your answer to the nearest tenth.​

Mathematics
1 answer:
geniusboy [140]3 years ago
6 0

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

the side "?" is the Adjacent side (Adj)  and we are given the angle and the Hypontenuse ( long side) (Hyp)  of this triangle

so use CAH

cos(75) =  Adj / 8

algebra to solve for the Adj side (which is the "?" for this problem )

8*cos(75) = Adj

2.07055 = Adj

so the "?" is  2.1 ft ( rounded to the nearest 10th )

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Answer:

200,000

Step-by-step explanation:THIS IS THE CORRECT ANSWER



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3 years ago
If you have 14 feet of fencing, what are the areas of the different rectangles you could enclose with the fencing? Consider only
disa [49]

Answer:

Area of rectangle possible. : 6ft² ; 10 ft², 12 ft²

Step-by-step explanation:

Feets of fencing = 14

Perimeter = 14

Let x = Length y = width

Perimeter = 2(x + y)

For x = 1

2(1 + y) = 14

1 + y = 7

y =6

Area of rectangle ; x *y = 1 * 6 = 6 ft²

For x = 2

2(2 + y) = 14

2 + y = 7

y = 5

Area of rectangle ; x *y = 2 * 5 = 10 ft²

For x = 3

2(3 + y) = 14

3 + y = 7

y =4

Area of rectangle ; x *y = 3 * 4 = 12 ft²

For x = 4

2(1 + y) = 14

4 + y = 7

y = 3

Area of rectangle ; x *y = 4 * 3 =12 ft²

Hence, Area of rectangle possible. : 6ft² ; 10 ft², 12 ft²

8 0
3 years ago
3. The manager of a fish store has water that is 10% salt and water that is 25% salt. He needs to fill an aquarium with 5 gallon
ANEK [815]
<span>a+b=5,
0.1*a+0.25*b=0.2*5
a=5-b
0.1*(5-b)+0.25*b=1

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3 0
4 years ago
Find the greatest possible error for each measurement.<br> 12.3 L
melisa1 [442]

Answer:

the GPE is 1/2 the unit of measure used to make the measurement or you say 1/2 the most precise unit

12.3 L has 0.1 as the most precise unit of measure, so 1/2 of 0.1 is 0.05 L which is c. above

look at it this way: 12.3 can be any number between 12.25 and 12.34 rounded to the nearest tenth

any number from 12.25 to 12.34 rounded to the nearest tenth gives you 12.3, so the GPE that you can possibly make is 0.05; if the number was 12.24 it would round down to 12.2 not up to 12.3 and if the number was 12.35 it would round up to 12.4 not round down to 12.3, so again the greatest possible error that you can make is 0.05

6 0
2 years ago
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