In circle A, measure of arc CFE is 240°.

9. A ladder of length 23 feet leans against the side of a building. The angle of elevation of the ladder is 76. Find the distanc

irakobra [83]

<h3>Answer:</h3>

B) 22.32 feet

$\quad\rule{300pt}{1pt}$

<h3>Solution:</h3>

we are given that , a ladder is placed against a side of building , which forms a right angled triangle . We wre given one side of a right angled triangle ( hypotenuse ) as 23 feet and the angle of elevation as 76 ° . We can find the Perpendicular distance from the top of the ladder go to the ground by using the trigonometric identity:

$\qquad\quad\bull ~{\boxed{\bf{ Sin\theta =\dfrac{Perpendicular}{Hypotenuse}}} }~\bull$

Here,

hypotenuse = 23 feet
$\theta$ = 76°
Value of Sin $\theta$ = 0.97
Perpendicular = ?

$\quad\dashrightarrow\quad \sf { sin\theta =\dfrac{P}{H}}$

$\quad\dashrightarrow\quad \sf { sin76° =\dfrac{P}{23}}$

$\quad\dashrightarrow\quad \sf { 0.97=\dfrac{P}{23}}$

$\quad\dashrightarrow\quad \sf {P = 0.97 \times 23 }$

$\quad\dashrightarrow\quad \sf { P = 22.32}$

‎ㅤ‎ㅤ‎ㅤ~Hence, the distance from the top of the ladder to the ground is 22.32 feet !

$\rule{300pt}{2pt}$

4 0

2 years ago

√108 <img src="https://tex.z-dn.net/?f=9%20%5Ctimes%20%5Cfrac%7B13%7D%7B20%7D%20" id="TexFormula1" title="9 \times \frac{13}{

ki77a [65]

I'm assuming your allowed to use a calculator for this? That's what I would do.
$\sqrt{108} = 10.39$
To go about the fraction, take the whole number and times it by the denominator, then add in the numerator to create a new fraction(a whole one not mixed). Then simply divide the numerator by the denominator.
$9 \times 20 = 180$
$180 + 13 = 193$
193 is the new numerator and the new whole fraction is this and dividing it out gives you,
$\frac{193}{20} = 9.65$
For the third one, just input it into a calculator,
$2\pi + 3.4 = 9.68$

4 0

3 years ago

Graphing y=0.2x+0.3 Graphing y=0.05x+0.4

s344n2d4d5 [400]

Y=0.2x+0.3=0.5
y=0.05x+0.4=0.09
all you have to do is basically just add the numbers when you add the numbers that would be your fraction you have to add the zeros and which will make the number

8 0

3 years ago

Devante and Chase went shopping. Devante spent $17 less than Chase. If we let z represent how much Chase spent, write an algebra

Mrac [35]

Answer: z-$17

Step-by-step explanation:

Z is chase and devante spent 17 less so the answer is z-17

8 0

3 years ago

Billy likes to go cycling.

Agata [3.3K]

Answer:

560 metres

Step-by-step explanation:

80 cm in metres is 0.8 metres.

After 1 revolution any point on the wheel will be back to the original position before moving. 0.8 times 2, which gives us 1.6 metres. In 1 revolution the bike travels 1.6 metres.

Now 1.6 metres times 350 gives us 560.

So the answer is 560 metres.

4 0

2 years ago