Ask question

Ask question

All categories

3 years ago

7

a ladder leans against the sufe of a house. the angle of elevation of the ladder is 70 degrees when the bottom of the ladder is

12 ft from the side of the house. find the length of the ladder. round your answer to the nearest tenth.

1 answer:

nekit [7.7K]3 years ago

4 0

Answer:

≈ 35.1 ft

Step-by-step explanation:

The model is a right triangle with ladder being the hypotenuse and the angle between the ground and the ladder is 70°

Using the cosine ratio, with l being the length of the ladder.

cos70° = $\frac{adjacent}{hypotenuse}$ = $\frac{12}{l}$ ( multiply both sides by l )

l × cos70° = 12 ( divide both sides by cos70° )

l = $\frac{12}{cos70}$ ≈ 35.1 ( to the nearest tenth )

The ladder is approx 35.1 ft long

You might be interested in

Which of the following ordered pairs belongs to the graph of f(x)

Lera25 [3.4K]

Answer:

The second choice, $(-1,\, 12)$ .

Step-by-step explanation:

Note, that the expression $y = f(x)$ is an equation. A point $(x,\, y)$ is on the graph of $y = f(x)\!$ if and only if the value of $x$ and $y$ satisfy this equation; that is: in other words, the $y\!$ -coordinate of that point (the second number in the tuple) should be equal to $f(x)$ , which is equal to $(-3\, x +9)$ (evaluated where $x\!$ is equal to the first number in the tuple.

For each tuple in the choices, calculate the value of $f(x)$ where $x$ is equal to the first number of each tuple. Compare the result to the second number in that tuple. That choice corresponds to a valid point on $y = f(x)$ only if these two numbers match.

First choice: $x = 1$ , $f(x) = f(1) = -3 + 9 = 6$ . That's not the same as the second number, $-10$ . Therefore, this point isn't on the graph of $y = f(x)$ .
Second choice: $x = -1$ , $f(x) = f(-1) = (-3)\times (-1) + 9 = 3 + 9 = 12$ . That matches the second number in the tuple. Therefore, this point is on the graph of $y = f(x)$ .
Third choice: $x = 2$ , $f(x) = f(2) = (-3)\times 2 + 9 = 3$ . That's not the same as the second number, $(-3)$ . Therefore, this point isn't on the graph of $y = f(x)$ .
Fourth choice: $x = -2$ , $f(x) = f(-2) = (-3)\times (-2) + 9 = 15$ . That's not the same as the second number, $13$ . Therefore, this point isn't on the graph of $y = f(x)$ .

4 0

3 years ago

An E. coli bacterium has a diameter of about 5×10^-7 meter. Write this measurement as a decimal in standard notation. Explain .

Archy [21]

5<span>×</span>10^-7 = 0.0000005
When 10 is to a negative power, you move the decimal to the left because the number is less than positive 1. Here 10 is to the power of -7, so you move the decimal (which is after/behind 5) to the left 7 times.

7 0

3 years ago

Please help. Jacob sells homemade skateboard decks for a profit of $27 per deck. He is considering switching to a new type of ma

nordsb [41]

Answer:

$5

Step-by-step explanation:

32-27 = 5

because he was earning 27 per skate board, that function shows him earning 32 per skate board which is an increase of $5.

6 0

3 years ago

-3 1/2=1/2 x+1/2 x+x simplified?

Elina [12.6K]

-3 1/2 = 1/2x + 1/2x + x
- 7/2 = 2x
(-7/2) / 2 = x
-7/2 * 1/2 = x
- 7/4 (or - 1 3/4) = x

4 0

4 years ago

Prove that (1+2w) (1 +2w ^2)(1-w-w^2)=6Prove that (1+2w) (1 +2w ^2)(1-w-w^2)=6

Effectus [21]

Step-byp explanation:

x is the answer

7 0

3 years ago