Question

A b c or d please hurry thanks!

Answer 1

The correct answer is C.

Explanation:

From the
`60\degree` right angle triangle

`\sin(60\degree)=(b)/(10)`

`10* \sin(60\degree)=b`

`10* (√(3))/(2)=b`

`5√(3)=b`

From the same
`60\degree` right angle triangle,

`\cos(60\degree)=(d)/(10)`

`10* \cos(60\degree)=d`

`10* (1)/(2)=d`

`5=d`

From the
`30\degree` right angle triangle

`\sin(30\degree)=(b)/(a)`

`(1)/(2)=(5√(3))/(a)`

`a=2* 5√(3)`

`a=10√(3)`

From the same
`30\degree` right angle triangle,

`\cos(30\degree)=(c)/(a)`

`(√(3))/(2)=(c)/(10√(3))`

`10√(3) * (√(3))/(2)=c`

`5 * 3=c`

`c=15`

The correct answer is C.

Answer 2

C) a = 10√3, b = 5√3, c = 15 , d = 5

Explanation:

Here we use the ratio of 30, 60, 90 degree triangle.

The ratio of sides, 1:√3:2

2x = 10

x = 5

d = 5

b = 5√3

c = 5√3√3

c = 5*3 = 15

c = 15

a = 2(5√3)

a = 10√3

Therefore, a = 10√3, b = 5√3, c = 15 and d = 5

Thank you.