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3 years ago

In the triangle below, what is the length of the side opposite the 30 degree angle

Mathematics

1 answer:

victus00 [196]3 years ago

6 0

Answer:

The correct answer is option A. √3

Step-by-step explanation:

From the figure we can see that aright angled triangle.

Points to remember

If a right angled triangle with angle 30°, 60° and 90° then the sides are in the ratio, 1 : √3 : 2

<u>To find the length of side opposite to 30°</u>

Let 'x' be the side opposite to the 30°, the we can write,

x : 3 : Hypotenuse = 1 : √3 : 2

Therefore x = 3/√3 = √3

The length of side opposite to the 30° is √3

The correct answer is option A. √3

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Step-by-step explanation:

The formula for calculate the area of a rectangle is:

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a. We know that the kitchen measures 3.75 meters by 4.2 meters; then we can say that:

$l=3.75\ m\\\\w=4.2\ m$

Therefore, substituting these values into the formula, we get that the area of the kitchen is:

$A_{(kitchen)}=(3.75\ m)(4.2\ m)=15.75\ m^2$

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$A_{(living)}=(1.5)(15.75\ m)=23.625\ m^2$

Therefore, the total of the living room and the kitchen is:

$A_{(total)}=15.75\ m^2+23.625\ m^2=39.375\ m^2$

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