12.01.2021

Which ratio represents the cosine of angle A in the right angle

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Mathematics

In triangle WXY, the measure of angle Y=90 degrees, XW=89, WY=80, and YX=39. What ratio represents the cosine of angle X?

Step-by-step answer

P Answered by PhD

$\dfrac{39}{89}$

Step-by-step explanation:

Given: In triangle WXY,

∠Y = 90°, XW = 89 units, WY = 80 units and YX = 39 units.

According to trigonometry ,

Cosine of A $=\dfrac{\text{side adjacent to A}}{\text{hypotenuse}}$

From the figure below,

$\text{cosine of } \angle X=\dfrac{YX}{WX}\\\\=\dfrac{39}{89}$

Hence, required ratio = $\dfrac{39}{89}$

Mathematics

In triangle WXY, the measure of angle Y=90 degrees, XW=89, WY=80, and YX=39. What ratio represents the cosine of angle X?

Step-by-step answer

P Answered by PhD

$\dfrac{39}{89}$

Step-by-step explanation:

Given: In triangle WXY,

∠Y = 90°, XW = 89 units, WY = 80 units and YX = 39 units.

According to trigonometry ,

Cosine of A $=\dfrac{\text{side adjacent to A}}{\text{hypotenuse}}$

From the figure below,

$\text{cosine of } \angle X=\dfrac{YX}{WX}\\\\=\dfrac{39}{89}$

Hence, required ratio = $\dfrac{39}{89}$

Mathematics

Which ratio shows the cosine of angle A.?

Step-by-step answer

P Answered by PhD

Step-by-step explanation:

$cos \angle A = \frac{45}{53} \\$

Mathematics

Which ratio shows the cosine of angle A.?

Step-by-step answer

P Answered by PhD

Step-by-step explanation:

$cos \angle A = \frac{45}{53} \\$

Mathematics

What is the ratio for the cosine of angle b? ?

Step-by-step answer

P Answered by Master

3/5

Cos is adjacent/hypotenuse. The adjacent side of angle B is 48 and the hypotenuse is 80.

48/80 = 3/5

~~hope this helps~~

Mathematics

In APQR, the measure of ZR=90°, RQ = 16, PR = 63, and QP = 65. What ratio represents the cosine of angleQ?

Step-by-step answer

P Answered by PhD

The ratio is 16/65

Step-by-step explanation:

In this question, we are tasked with calculating what ratio represents the cosine of the angle Q.

In a right angled triangle, there are usually three sides, the hypotenuse, the opposite and the adjacent. Also, there are three angles, 2 asides the ∠90°. The hypotenuse is the longest side which faces the ∠90°, the opposite is that side facing the angle we are interested in while the adjacent is the third side.

Hence we can have only a single hypotenuse, which is the longest side, two opposites(depending on the angle we are concerned about and two adjacents two based on the angle of interest

Firstly, please check attachment for diagrammatic representation.

The ratio for the cosine of an angle is = length of adjacent/length of hypotenuse

From the diagram, with respect to angle Q, the length of the adjacent is 16 while the length of the hypotenuse is 65.

Thus, the ratio representing the cosine of angle Q is 16/65

In APQR, the measure of ZR=90°, RQ = 16, PR = 63, and QP = 65. What ratiorepresents the cosine of an

Mathematics

If x = 10, y = 5, and z = 11, what is the cosine ratio for g°? triangle ACB, angle C is a right angle, angle B measures g degrees, angle A measures h degrees, segment AC measures x, segment CB measures y, and segment AB measures z 2 over 1 one half eleven fifths five elevenths

Step-by-step answer

P Answered by Master

$apply : \cos(g \degree) = \frac{adj}{hyp}$

Mathematics

(HELP) A board with a length of 15 feet is leaning against a vertical wall. The angle that the board forms with the ground is 53.13° Use a trigonometric function to determine the distance from the bottom of the board to the edge of the wall. In at least four sentences, explain why you chose your specific function and how it applies to the reference angle A. Be sure to include the key vocabulary words cosine , ratio , adjacent side , hypotenuse and angle measure in your response. Describe each computational step in complete sentences.

Step-by-step answer

P Answered by PhD

9 ft

Step-by-step explanation:

-Let x be the length of the base dimension.

-We apply the cosine ratio:

$Cos\ \theta=\frac{Adjacent}{Hypotenuse}$

-We substitute the given values to solve for x as follows:

$Cos \ \ \theta=\frac{Adjacent}{Hypotenuse}\\\\Cos \ \ 53.13\textdegree=\frac{x}{15}\\\\x=15\times Cos \ \ 53.13\textdegree\\\\=9.0000\ ft$

Hence, the base length is 9.00 ft

(HELP) A board with a length of 15 feet is leaning against a vertical wall. The angle that the board

Mathematics

Consider △XYZ Triangle X Y Z is shown. Angle X Z Y is a right angle. What are the ratios of sine, cosine, and tangent for angle Y? sin(Y) = StartFraction X Z Over X Y EndFraction; cos(Y) = StartFraction Y Z Over X Z EndFraction; tan(Y) = StartFraction Y Z Over X Y EndFraction sin(Y) = StartFraction X Y Over X Z EndFraction; cos(Y) = StartFraction X Z Over X Y EndFraction; tan(Y) = StartFraction Y Z Over X Z EndFraction sin(Y) = StartFraction X Z Over X Y EndFraction; cos(Y) = StartFraction Y Z Over X Y EndFraction; tan(Y) = StartFraction X Z Over

Step-by-step answer

P Answered by Specialist

$\sin Y= \frac{XZ}{XY}$

$\cos Y= \frac{YZ}{XY}$

$\tan Y= \frac{XZ}{YZ}$

Step-by-step explanation:

Given

See attachment for triangle

Required

Find $\sin, \cos$ and $\tan$ of angle Y

For angle Y:

Opposite = XZ

Adjacent = YZ

Hypotenuse = XY

The $\sin$ of an angle is calculated as:

$\sin\theta = \frac{Opposite}{Hypotenuse}$

So:

$\sin Y= \frac{XZ}{XY}$

The $\cos$ of an angle is calculated as:

$\cos\theta = \frac{Adjacent}{Hypotenuse}$

So:

$\cos Y= \frac{YZ}{XY}$

The $\tan$ of an angle is calculated as:

$\tan\theta = \frac{Opposite}{Adjacent}$

So:

$\tan Y= \frac{XZ}{YZ}$

Consider △XYZ Triangle X Y Z is shown. Angle X Z Y is a right angle. What are the ratios of sine, co

Mathematics

Step-by-step answer

P Answered by PhD

9 ft

Step-by-step explanation:

-Let x be the length of the base dimension.

-We apply the cosine ratio:

$Cos\ \theta=\frac{Adjacent}{Hypotenuse}$

-We substitute the given values to solve for x as follows:

$Cos \ \ \theta=\frac{Adjacent}{Hypotenuse}\\\\Cos \ \ 53.13\textdegree=\frac{x}{15}\\\\x=15\times Cos \ \ 53.13\textdegree\\\\=9.0000\ ft$

Hence, the base length is 9.00 ft

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