Question

Find the value of the variable. If your answer is not an integer, leave it in simplest radical form.

Answer 1

Answer:

7 sqrt(2)/2 =x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/ hyp

sin 45 = x/7

7 sin 45 =x

7 sqrt(2)/2 =x

Answer 2

Answer:

$\large \boxed{\mathrm{D. \ \displaystyle \frac{7\sqrt{2} }{2 }}}$

Step-by-step explanation:

The triangle is a right triangle.

We can use trigonometric functions to solve the problem.

$sin \theta = opp/hyp$

The opposite side to the angle 45 degrees is x and the hypotenuse of the triangle is 7.

$sin 45 = x/7$

Multiply both sides of the equation by 7.

$7 sin 45 = x$

Simplify the value.

$\displaystyle \frac{7\sqrt{2} }{2 }=x$