Question

Find the value. Need help on these questions ASAP

Answer 1

7) Option D.

8) Option C.

9) Option C.

10) Option A.

Explanation:

7) The "x" value can be found using the following trigonometrical identity:

`sin(30) = (12)/(x)`

`x = (12)/(sin(30)) = 24`

Since "x" (the hypotenuse) is related to the opposite side by sin(θ).

So, the correct option is D.

8) The "y" value can be calculated with tan(θ):

`tan(30) = (12)/(y)`

`y = (12)/(tan(30)) = (12)/((√(3))/(3)) = 12√(3)`

Hence, the correct option is C.

9) The hypotenuse can be calculated with cos(θ):

`cos(45) = (5√(2))/(x)`

`x = (5√(2))/(cos(45)) = (5√(2))/((√(2))/(2)) = 10`

Thus, the correct option is C.

10) The value of the sides can be found by Pitagoras:

`h^(2) = x^(2) + x^(2)`

`x = \sqrt{(h^(2))/(2)} = \sqrt{((12√(5))^(2))/(2)} = √(360) = 6√(10)`

Therefore, the correct option is A.

I hope it helps you!