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olasank [31]
2 years ago
10

Find the value of each variable

Mathematics
2 answers:
Bingel [31]2 years ago
7 0

Answer:

d.a=10\sqrt3,b=5\sqrt3,c=15,d=5

Step-by-step explanation:

We have to find the value of each variable.

\frac{P}{H}=sin\theta

\frac{b}{10}=sin 60^{\circ}

\frac{b}{10}=\frac}\sqrt3}{2}

b=10\times \frac{\sqrt3}{2}=5\sqrt3

\frac{d}{10}=cos 60^{\circ}    (cos\theta=\frac{base}{hypotenuse})

d=\frac{1}{2}\times 10=5

\frac{b}{a}=sin30^{\circ}

\frac{5\sqrt3}{a}=\frac{1}{2}

a=10\sqrt3

\frac{b}{c}}=tan 30^{\circ}   (tan\theta=\frac{p}{b})

\frac{5\sqrt3}{c}=\frac{1}{\sqrt3}

c=5\sqrt3\times \sqrt3=15

a=10\sqrt3,b=5\sqrt3,c=15,d=5

Hence, option d is true.

kondaur [170]2 years ago
4 0

Answer:

The correct answer is option C

a = 10√3, b = 5√3, c = 15 and d = 5

Step-by-step explanation:

Points to remember

The angles of a right angled triangle, 30°, 60° and 90° then sides are in the ratio, 1: √3 : 2

<u>To find the value of variables</u>

From the figure we can see 2 right angled triangle with angle 30, 60 and 90

we get, d= 5 then b = 5√3

b = 5√3  the c = 5√3 * √3 = 15

and a = 2 * 5√3 = 10√3

Therefore the correct answer is option C

a = 10√3, b = 5√3, c = 15 and d = 5

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