Mathematics, 27.06.2019 17:00 atlasthegoat

A10 meter long ladder rests against a vertical wall so that the distance between the foot of the ladder and the wall is 2 meter. find the angle the ladder makes with the wall and height above the ground at which the upper end of the ladder touches the wall. round your answer to the nearest hundredth of a degree if necessary.

A10 meter long ladder rests against a vertical wall so that the distance between the foot of the lad

Answers: 2

Show answers

Answers

Answer from: 200002977

1. The angle ladder makes with the wall is 11.54°

2. The height above the ground at which the upper end of the ladder touches the wall is 9.80 m

Step-by-step explanation:

∠A is what we are trying to find. Also AC is the length we are trying to find, as well.

We see that the side opposite of ∠A and the hypotenuse (side opposite of 90 degree angle) of the triangle are known. The ratio that relates these two sides are SINE.

We know,

$sin(angle)=\frac{opposite}{hypotenuse}$

Thus we can write:

$sin(A)=\frac{2}{10}\\sin(A)=\frac{1}{5}$

To find ∠A, we take the inverse sine of $\frac{1}{5}$ . Our answer is:

$sin(A)=\frac{1}{5}\\A=sin^{-1}(\frac{1}{5})\\A=11.54$

Thus the angle ladder makes with the wall is 11.54°

Second part of the question asks for the height above the ground at which the upper end of the ladder touches the wall, this is the length of AC.

Given the angle we found, we see that the side AC is adjacent of the angle and we also know the hypotenuse. The ratio that relates these 2 sides is COSINE.

We know,

$cos(angle)=\frac{adjacent}{hypotenuse}$

Thus, we can write:

$cos(11.54)=\frac{AC}{10}$

Cross multiplying and solving for AC, gives us:

$cos(11.54)=\frac{AC}{10}\\AC=10*cos(11.54)\\A=9.80$

Thus, the height above the ground at which the upper end of the ladder touches the wall is 9.80 m

Answer from: hahHcjckk

ANSWER

The angle can be calculated using ,

$\sin(\ A) = \frac{2}{10}$

$\sin(\ A) = \frac{1}{5}$

$A= arcsin(\frac{1}{5})$

$A=11.54\degree$

Using the tangent ratio,

$\tan(A) = \frac{2}{ |AC| }$

This implies that,

$\tan(11.537) = \frac{2}{ |AC| }$

$0.20412= \frac{2}{ |AC| }$

$|AC| = \frac{2}{ 0.20412 }$

|AC| = 9.80m

Answer from: Quest

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)

Need 45 ! compare the rates at which each of the three students read: which student read at a fa

Answer from: Quest

the correct answer is a) "catholic church".

the proposals that liberals in mexico made during 1855 were particularly focused on a person's individual rights, such as the freedom of speech, the freedom of conscience, freedom of assembly, and the right to possess weapons.

when the constitution was formally published 2 years later (1857). it also contained an article which permitted education free from any religious influence, the removal of the catholic church institutional privileges, and the sale of property belonging to the church. all of these provisions were clearly against the catholic church interests.

Another question on Mathematics

Mathematics, 21.06.2019 16:20

Find the value of x for which abcd must be a parallelogram -9-6x x-30

Answers: 2

Answer

Mathematics, 21.06.2019 18:20

Cot(90° − x) = 1 the value of x that satisfies this equation is °. a. 60 b. 135 c. 225 d. 315

Answers: 1

Answer

Mathematics, 21.06.2019 22:30

Abag contains 10 white golf balls and 6 striped golf balls. a golfer wants to add 112 golf balls to the bag. he wants the ratio of white to striped gold balls to remain the same. how many of each should he add?

Answers: 2

Answer

Mathematics, 21.06.2019 23:00

Each of the following data sets has a mean of x = 10. (i) 8 9 10 11 12 (ii) 7 9 10 11 13 (iii) 7 8 10 12 13 (a) without doing any computations, order the data sets according to increasing value of standard deviations. (i), (iii), (ii) (ii), (i), (iii) (iii), (i), (ii) (iii), (ii), (i) (i), (ii), (iii) (ii), (iii), (i) (b) why do you expect the difference in standard deviations between data sets (i) and (ii) to be greater than the difference in standard deviations between data sets (ii) and (iii)? hint: consider how much the data in the respective sets differ from the mean. the data change between data sets (i) and (ii) increased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). the data change between data sets (ii) and (iii) increased the squared difference îł(x - x)2 by more than data sets (i) and (ii). the data change between data sets (i) and (ii) decreased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). none of the above

Answers: 2

Answer

You know the right answer?

A10 meter long ladder rests against a vertical wall so that the distance between the foot of the lad...

Questions