Question

Find the value. Need help on these questions ASAP

Answer 1

Answer:

7) Option D.

8) Option C.

9) Option C.

10) Option A.

Step-by-step explanation:

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

$sin(30) = \frac{12}{x}$

$x = \frac{12}{sin(30)} = 24$

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):

$tan(30) = \frac{12}{y}$

$y = \frac{12}{tan(30)} = \frac{12}{\frac{\sqrt{3}}{3}} = 12\sqrt{3}$

Hence, the correct option is C.

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

$cos(45) = \frac{5\sqrt{2}}{x}$

$x = \frac{5\sqrt{2}}{cos(45)} = \frac{5\sqrt{2}}{\frac{\sqrt{2}}{2}} = 10$

Thus, the correct option is C.

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

$h^{2} = x^{2} + x^{2}$

$x = \sqrt{\frac{h^{2}}{2}} = \sqrt{\frac{(12\sqrt{5})^{2}}{2}} = \sqrt{360} = 6\sqrt{10}$

Therefore, the correct option is A.

I hope it helps you!