Question

What is the value of h? 4 8 sqrt 3 16 8 sqrt 2

Answer 1

On any right triangle that has 45 degree angles the hypotenuse is the length of the side x sqrt(2)
 the answer would be 8 sqrt2

Answer 2

Answer:

 The value of h is $8\sqrt{2}\ units.$

Step-by-step explanation:

As given the figure

Now by using the trignometric property

$sin\theta = \frac{Perpendicular}{Hypotenuse}$

Perpendicular = 8 units

Hypotenuse = h

$\theta = 45^{\circ}$

$sin\ 45^{\circ} = \frac{1}{\sqrt{2}}$

$\frac{1}{\sqrt{2}} = \frac{8}{h}$

$h = 8\sqrt{2}\ units$

Therefore the value of h is $8\sqrt{2}\ units.$