What is the tangent ratio for

Mathematics

2 answers:

Shalnov [3]3 years ago

8 0

Answer:

a $\displaystyle \frac{2}{3}$

Step-by-step explanation:

$\displaystyle \frac{OPPOSITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOSITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOSITE} = csc\:θ \\ \frac{ADJACENT}{OPPOSITE} = cot\:θ$

Look at where the tangent ratio is, and you will see that from ∠A, you will its opposite side and its adjacent side.

I am joyous to assist you anytime.

kirill115 [55]3 years ago

3 0

Answer:

The answer to your question is letter A (2/3)

Step-by-step explanation:

Formula

tangent Ф = $\frac{opposite side}{adjacent side}$

For A

opposite side = 2

adjacent side = 3

Substitution

tan Ф = $\frac{2}{3}$

Result

tan Ф = $\frac{2}{3}$

You might be interested in

Which number is the solution of n/3= -12?<br><br> A: -36 <br> B: -4<br> C: 4<br> D: 36

faust18 [17]

N/3= -12.
You want to get "N" by itself. On one side of the equation, with no other number. To do this, we do the opposite of what we have next to the letter "N"
In this case, N is being divided by 3, and the opposite of dividing is multiplying.
So you need to multiply both sides by 3.
The 3's on the left side cancel out, leaving N by itself.
Now you have N= -12 * 3
-12 * 3 = -36

So N = -36

8 0

3 years ago

A Trapezoid has an area of 150 square feet. the Bases are 14 feet and 16 feet. write an equation to determine the height of the

JulsSmile [24]

Given:
Area = 150 square feet
Bases = 14 feet and 16 feet

Find the height of the trapezoid.

Let us use the formula of finding the Area of a trapezoid to get the value of its height.

A = (a+b)/2 * h
150 ft² = (14ft + 16ft)/2 * h
150 ft² = 15ft * h
150 ft² / 15 ft = h
10 ft = h

The height of the trapezoid is 10 feet.

8 0

3 years ago

The area of a rectangle is 65 square feet, and the length of the rectangle is 3 feet less twice the width . Find the dimensions

just olya [345]

Answer:

width = 6.5

length= 10

Step-by-step explanation:

3 0

3 years ago

A circle of radius of 4 inches has an arc length of 5.8 inches. Find the measure of the central angle.

kondor19780726 [428]

<h3>SOLUTION : </h3>

The radius of the circle is 4 inch and has an arc length of 5.8 inches . We know that if the central angle is 360° then the arc length is $2\pi r$ . Similarly when angle is theta ,