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3 years ago

4. A six-meter-long ladder leans against a building. If the ladder makes an angle of 60° with the

Mathematics

2 answers:

ankoles [38]3 years ago

7 0

Answer: the answer is simply 5.2cm

Step-by-step explanation:

serious [3.7K]3 years ago

5 0

Rather than memorize sines and cosines of various common triangles, I prefer to remember the simple derivation of those formulas…

Imagine that the wall is a mirror, so you have one ladder leaning against the wall and you also have the reflection of that ladder leaning behind it. Now the ladder is 6m long, its reflection is 6m long, and if the distance between their bases is also 6m then you have a 60–60–60 equilateral triangle. And, good news, the problem says that the base angle is 60 degrees. So the real part in front of the mirror is half of the equilateral triangle, which means the distance from the base to the mirror is 3m. And then the height is sqrt(36–9) = sqrt(27) = 3*sqrt(3).

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HELPPPPP ASAP!!!! Thx!! and NOOO FILESSSS!!

tiny-mole [99]

Answer:

$x=32$ °

Step-by-step explanation:

The law of sines is a property of all triangles that relates the sides and angles of a triangle. This property states the following:

$\frac{sin(a)}{A}=\frac{sin(b)}{B}=\frac{sin(c)}{C}$

Where side (A) is the side opposite angle (<a), side (B) is the side opposite angle (<b), and side (C) is the property opposite angle (<c).

Substitute each of the sides and respective angles into the formula, and solve for the unknown angle (<x). Please note that a triangle with two congruent sides (referred to as an isosceles triangle) has a property called the base angles theorem. This states that the angles opposite the congruent sides in an isosceles triangle are congruent. Therefore, there can be two (<x)'s in this triangle.

$\frac{sin(a)}{A}=\frac{sin(b)}{B}=\frac{sin(c)}{C}$

$\frac{sin(x)}{10}=\frac{sin(116)}{17}=\frac{sin(x)}{10}$

One can shorten the equation so it only holds the parts that will play a role in solving this equation,

$\frac{sin(x)}{10}=\frac{sin(116)}{17}$

Now take the cross product in this equation to simplify it further,

$\frac{sin(x)}{10}=\frac{sin(116)}{17}$

$17(sin(x))=10(sin(116))$

Inverse operations, solve this equation for (x),

$17(sin(x))=10(sin(116))$

$sin(x)=\frac{10(sin(116))}{17}$

$x=sin^-^1(\frac{10(sin(116))}{17})$

$x=31.91782...$

$x\approx32$

4 0

3 years ago

Read 2 more answers

Find the distance between points.

SashulF [63]

Answer:

3 units

Step-by-step explanation:

Here, The distance between two points is 3 units

<u>-TheUnknownScientist</u>

4 0

3 years ago

Which inequality is represented by the graph

castortr0y [4]

Well, accordingly to the graph, it has a positive slope so we can eliminate b and d. So it is either a or c. As x increases, so does y. Y is almost not quite equal to 3x-2. In fact, it is greater, so I'd go with A. I'm pretty confident.

8 0

3 years ago

Read 2 more answers

I need help text back faster

viktelen [127]

if the order mattered it would be 7*6*5 *4*3 = 2520 arrangements

if order didn't matter

7*6*5*4*3*2 divided by (5*4*3*2*2) = 21

4 0

3 years ago

Stephanie sold half of her comic books and then bought five more. She now has 23. How many comic books did she start with?

yulyashka [42]

Answer:

9 comic books

Step-by-step explanation:

23 - 5 = 18

18/2 = 9 comic books

8 0

3 years ago