All categories

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).

You might be interested in

A pizza company uses equation C = 15n to calculate the cost of buying a number of pizzas. What is the constant of proportionalit

Lorico [155]

Answer:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Examine this right triangle. A right triangle has a side length of 16 meters and hypotenuse of 20 meters. Which equation can be

Sergeu [11.5K]

The equation can be used to find the missing leg in the triangle $20^{2} = 16^{2} +a^{2}$ .

<h3>What is the right triangle?</h3>

A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse.

It is given that a right triangle has a side length of 16 meters and a hypotenuse of 20 meters.

From a Pythagoras theorem

$b^{2} = c^{2} +a^{2} \\20^{2} = 16^{2} +a^{2}\\20^{2}-16^{2} =a^{2}\\a^{2} = 20^{2}-16^{2} \\$

Thus, the equation can be used to find the missing leg in the triangle $20^{2}-16^{2} =a^{2}$ .

Learn more about the right-angle triangle;

brainly.com/question/5474676

3 0

2 years ago

Read 2 more answers

6. Would the amount of dissolved oxygen in the Missouri River increase or decrease if large amounts of chemical waste were dumpe

WARRIOR [948]

The amount of dissolved oxygen in the Missouri River would decrease if large amounts of chemical waste were dumped into it. It would decrease because the chemical waste would feed on the microorganisms and reduce the amount of oxygen in the river.

7 0

3 years ago

Solve for x: 1/8-2/×=5 someone pls help me ASAP

cricket20 [7]

Begin by subtracting 1/8 from both sides to get $- \frac{2}{x} =5- \frac{1}{8}$ and get a common denominator of 8 on the right: $- \frac{2}{x} = \frac{40}{8} - \frac{1}{8}$ . Now simplify and cross-multiply: 39x = -16 andx = -16/39

6 0

3 years ago

Whats the answer??? Pleaseeee!!!!

kvasek [131]

To find the 20th term in this sequence, we can simply keep on adding the common difference all the way until we get up to the 20th term.

The common difference is the number that we are adding or subtracting to reach the next term in the sequence.

Notice that the difference between 15 and 12 is 3.

In other words, 12 + 3 = 15.

That 3 that we are adding is our common difference.

So we know that our first term is 12.

Now we can continue the sequence.

12 ⇒ 1st term

15 ⇒ 2nd term

18 ⇒ 3rd term

21 ⇒ 4th term

24 ⇒ 5th term

27 ⇒ 6th term

30 ⇒ 7th term

33 ⇒ 8th term

36 ⇒ 9th term

39 ⇒ 10th term

42 ⇒ 11th term

45 ⇒ 12th term

48 ⇒ 13th term

51 ⇒ 14th term

54 ⇒ 15th term

57 ⇒ 16th term

60 ⇒ 17th term

63 ⇒ 18th term

66 ⇒ 19th term

69 ⇒ 20th term

This means that the 20th term of this arithemtic sequence is 69.

5 0

3 years ago