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Arlecino [84]
3 years ago
13

A ladder leans against the side of a house. The angle of elevation of the ladder is 67 degrees when the bottom of the ladder is

14 ft from the side of the house. Find the length of the ladder.
Mathematics
1 answer:
Lynna [10]3 years ago
7 0

Answer:

32.98 ft

Step-by-step explanation:

What you have right there is a triangle.

The base of the triangle is given (14 ft)

The angle from the ladder makes while leaning on the house is 67 degrees.

This is a simple trigonometry problem

You want to find the length of the ladder and you don't have the hypotenuse

So you can use the function tan to find it.

tan(Ф) = opposite/adjacent

You are looking for the opposite side length

So you do tan(Ф) * adjacent = opposite

tan(67) * 14 = 32.98 ft

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On a test that has a normal distribution, a score of 49 falls three standard deviations below the mean, and a score of 59 falls
DedPeter [7]

Answer:

Step-by-step explanation:

6 0
3 years ago
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Oduvanchick [21]

Answer:

-11

Step-by-step explanation:

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6 0
3 years ago
Holly is taking out a loan in the amount of $10,000. Her choices for the loan are a 4-year loan at 4% simple interest and a 6-ye
notsponge [240]

Answer:

The difference in the amount of interest she would have to pay for the two loans is $1,400

Step-by-step explanation:

The amount of loan Holly is taking out, P = $10,000

The choices available for the loan are;

1) Loan duration, T₁ = 4-year

Interest rate, R₁ = 4%

2) Loan duration, T₂ = 6-year

Interest rate, R₂ = 5%

For the first choice, we have;

The simple interest, I, given by the formula;

I_1 = \dfrac{P \times  R_1 \times T_1 }{100} = \dfrac{10,000 \times  4 \times 4 }{100} = \$ 1,600

For the second choice, we have;

The simple interest, I, given by the formula;

I_2 = \dfrac{P \times  R_2 \times T_2 }{100} = \dfrac{10,000 \times  5 \times 6 }{100} = \$ 3,000

The difference, D, in the amount of interest she would have to pay for the two loans is therefore;

D = I₂ - I₁ = $3,000 - $1,600 = $1,400

The difference in the amount of interest she would have to pay for the two loans = D = $1,400.

7 0
3 years ago
Read 2 more answers
PLEASE HELP I WILL GIVE BRAINLIEST
OLga [1]

Answer:

$67

Step-by-step explanation:

So 5x12+7=C

PEDMAS so:

5x12 = 60

60+7 = 67

67 = C

8 0
3 years ago
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