# A 13 ft ladder is resting on a wall. The angle the ladder makes with the floor is 45 degrees. How high off the ground is the top of the ladder?Use the function y=13cos(theta) to find the answer

height = 9.19 ft

Step-by-step explanation:

The ladder is resting on a wall. The angle the ladder makes with the floor is 45°. The ladder is 13 ft. The illustration forms a right angle triangle.

The hypotenuse side of the right angle triangle is 13 ft . The opposite side of the right angle triangle is the unknown which is the height off the ground the top of the ladder. Therefore,

Using ratio

sin ∅ =  opposite/hypotenuse

sin ∅ = opp/13

sin 45° = opp/13

cross multiply

13 sin 45 = opp

opp = 13 × 0.70710678118

opp = 9.19238815543

height = 9.19 ft

## Or

You can use the following base on your equation(y = 13 cos ∅)

The other angle will definitely be 45° since total angle in a triangle is 180°. 180 - 90 - 45 = 45°.

The adjacent side of the triangle will be the unknown side if we use cosine ratio.

cos ∅ = adjacent/hypotenuse

cos 45° = adjacent/13

cross multiply

From your equation you represented adjacent as y therefore,

y = 13 cos 45°

y = 13 × 0.70710678118

y = 9.19238815543

y = 9.19 ft (which is the required height)

## Related Questions

Bo and Erica are yoga instructors. Between the two of them, they teach 44 yoga classes each week. If Erica teaches 13 fewer than twice as many as Bo, how many classes does each instructor teach per week?A. 23 Bo; 21 Erica
B. 21 Bo; 23 Erica
C. 16 Bo; 28 Erica
D. 19 Bo; 25 Erica

Answer: D. 19 Bo; 25 Erica

Step-by-step explanation:

Let x represent the number of yoga classes that Bo teaches in a week.

Let y represent the number of yoga classes that Erica teaches in a week.

Between the two of them, they teach 44 yoga classes each week. This means that

x + y = 44 - - - - - - - - - - -1

If Erica teaches 13 fewer than twice as many as Bo, it means that

y = 2x - 13

Substituting y = 2x - 13 into equation 1, it becomes

x + 2x - 13 = 44

3x = 44 + 13 = 57

x = 57/3 = 19

y = 2x - 13 = 2 × 19 - 13

y = 25

Penny reads 13 pages in 1/2 hour. What is the unit rate for pages per hour? For hours per page? How many hours per page

13 pages : 1/2 hour Multiply both sides by 2

26 pages : 1 hour ------>> 26 pages/hr

Flip over 26 pages/hr ----->>> hr / 26 pages = 1 hr / 26 pages

Split up the fraction: (1/26) hr / page

26

Step-by-step explanation:

13 in 1/2 hour

13:1/2

26:1

Consider the following inductive arguments, and evaluate each one for inductive strength. To do this, begin by assuming that the argument's premises are true (even if they are false). Then ask yourself whether the conclusion would therefore probably be true as well. If the answer to this question is yes, then the argument is strong. If the conclusion is not likely to be true based upon the given premises, then the argument is weak.Argument A:
Whales and dolphins are both mammals. So, because whales cannot breathe underwater but must come up to the ocean's surface to breathe, it is likely that dolphins must also swim to the surface to breathe air.
Argument A is :_______
a. strong
b. weak

Argument B:
Harry has always had an aptitude for history, geography, and social sciences, but he has always struggled with abstract concepts such as mathematics and physics. But Harry must take a college physics course to fulfill a general education requirement for his degree. Based on his academic track record, it is likely that Harry will be one of the top students in his college physics course.

Argument B is :_______
a. strong
b. weak

Argument C:
Out of a bag of 100 marbles, 97 red marbles were drawn in a row at random. Based on this sample, it is probably the case that the remaining 3 marbles are also red.

Argument C is :_______
a. strong
b. weak

Argument D:
The label on the side of a certain soda can indicates that the can was manufactured by Ball Corporation in their plant in Fairfield, California. Based on the information on the can's label, it is unlikely that the can was manufactured by any company other than Ball Corporation.

Argument D is :_______
a. strong
b. weak

Argument A: a. strong

Argument B: b. weak

Argument C: a. strong

Argument D: a. Strong

Step-by-step explanation:

Dolphins and whales are mammals. They do not have gills like other fishes for breathing. They have to come to surface of water to breathe. The whales can store oxygen and can stay alive without breathing for more than an hour while dolphins can stay without breathing for few minutes. Harry has struggles with physics and mathematics therefore he cannot be top scorer in this subject based on his past track record.

HELP ASAP ILL GIVE YOU ALL!!! What is the coefficient of (6x^2-4x-5)-

32x-5

Step-by-step explanation:

6x^2-4x-5

36x-4x-5

32x-5

32x-5 would be the answer I’m pretty sure

A rectangular window has a length of 81.47 cm and a width of 34.2 CM what is the least ​

The least precise measurement of the perimeter of the window is 231.30
Step-by-step explanation:
The least price measurement mean a value with the least number of significant figures.calculate the perimeter in this case as;
Perimeter of a rectangle = 2(l+w) where l is the length and w is the width
Perimeter= 2(81.47 + 34.2)
Perimeter=2(115.67)
Perimeter=231.34
Perimeter=231.30(4 significant figures)

50 points! Please help fast this is due soon and it confuses me. Will mark brainliest. Random answers will be reported. Please help with both of you can

• Question 1. C
• Question 2. D

Step-by-step explanation:

### Question 1

Reflection of point (5, -3) across line y = x is symmetrical point:

• (x, y) → (y, -x)
• (5, -3) → (-3, 5)

Correct choice is C

See attached

### Question 2

• Coordinates of A = (4, 3)
• Coordinates of A' = (-3, 4)

This is 90° counterclockwise or 270° clockwise rotation

• (x, y) → (-y, x)
• (4, 3) → (-3, 4)

Correct choice is D