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4 years ago

HOW DO I FIND THE AREA OF DEF?

Mathematics

2 answers:

Fittoniya [83]4 years ago

5 0

Answer:

169.7

Step-by-step explanation:

first lets find the other side of the small triangle

cos(30 degrees)=(7*sqrt (3))/x

x*cos(30 degrees)=7*sqrt (3)

x=(7*sqrt (3))/cos(30 degrees)

x=14

14/14=1

so proportion is 1/1

thus the bottom the outer part of the triangle is also 7*sqrt(3)

now, for the area

lets find the 2 side length of the triangle we need

DE: 14+14=28

DF: 7*sqrt(3)+7*sqrt(3)=14*sqrt(3)

let's find EF,

sin(30 degrees)=x/28

x/28=sin( 30 degrees)

x=28*sin( 30 degrees)

x=14

A=(14*sqrt(3))*14*0.5

A=(14*sqrt(3))*7

A= around 169.7

tatiyna4 years ago

3 0

Answer:

≈169.7

Step-by-step explanation:

cos30 = (7 $\sqrt{3}$ )/x

x= (7 $\sqrt{3}$ )/cos30 = 14

h = 14+14 = 28

sin30 = EF/28

EF = sin30 * 28 = 14

tan30 = 14/DF

DF = 14/tan30 ≈ 24.248

Area = 24.248*14/2 ≈ 169.74 ≈ 169.7

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3 years ago

Three trigonometric functions for a given angle are shown below. Sine theta = Negative StartFraction 77 Over 85 EndFraction, cos

Likurg_2 [28]

Trigonometric functions are the ratio of the different sides of a right-angled triangle. We can say that the coordinates of the point are (-77, 36).

<h3>What are trigonometric functions?</h3>

Trigonometric functions are the ratio of the different sides of a right-angled triangle.

$\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}$

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

Given to us

$Sin(\theta) = \dfrac{-77}{85}$

$Cos(\theta) = \dfrac{36}{85}$

$Tan(\theta) = \dfrac{-77}{36}$

As we know that the Tangent(Tan) is the ratio of perpendicular and base. therefore, we can write the function as,

$\rm Tan(\theta) = \dfrac{Perpendicular}{Base} = \dfrac{-77}{36}$

therefore, the length of the perpendicular is 77, while the length of the base is 36.

As given to us that the value of sin is negative, therefore, the perpendicular will be on the negative side of the y-axis. While the value of cos is positive, therefore, the base will be on the positive side of the x-axis.

Thus, we can say that the coordinates of the point are (-77, 36).

Learn more about Trigonometric functions:

brainly.com/question/6904750

8 0

2 years ago

Read 2 more answers

In a right triangle the length of a hypotenuse is c and the length of one leg is a. Find the length of the other leg, if c=6, a=

irakobra [83]

Answer:

Step-by-step explanation:

6^2=5^2+b^2

36=25+b