3^4 + 4 . 5 = _ (input whole numbers only.)

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

Simone takes dance lessons. Her shoes cost $150 per year, her tights and leotards cost $70 per year, her hair accessories cost $

KATRIN_1 [288]

Ok so all you do is add 150+70+15+1000. That equals to $1235

6 0

3 years ago

One card is selected at random from a deck of cards. determine the probability of selecting a card that is less than 99 or a spa

Kitty [74]

Since these events are independent, you add the possibilities

the number of cards less than 9 is 32
the number of spades is 13
there are 52 cards in a deck, so you put those numbers over 52

32/52 + 13/52 = 45/52

the answer is 45/52

8 0

3 years ago

An elevator goes up 7 floors and then down 4 floors. What integer represents the change in the floor level?

Nat2105 [25]

The answer is three because...

7-4=3

3 0

3 years ago

Read 2 more answers

I don't really understand this, could anyone possibly help me?

Tanya [424]

$\bf Step-by-step~explanation:\\$

$\bf13.$

We have to name a line that "contains" point P. This means that we have to find a line that passes through point P. We can see that line PS/n goes through point P.

$\bf14.$

We have to find the plane's name. The name (usually a letter) is usually on a corner of the plane, in caps. We could see that there is an F on the bottom left hand corner of the plane, so F is our plane name.

$\bf 15.$

To name an intersection of lines n and m, we have to find the point where they intersect and name it. We could see that point R goes through both lines, so that is our answer.

$\bf 16.$

We have to name a point that does not contain lines l, m, or n. Point W is a point that is not on any of the lines.

$\bf 17.$

Another name for line n is also line PS (add a line on the top of PS when writing this!) because point P and point S are two points on line n.

$\bf 18.$

Line l does not intersect lines n or m because those lines do not go through line l at all.

$\large\boxed{\bf Our ~final~answers:~In~bold}$

8 0

3 years ago