Question

What is the value of h?

a) 4
b) 8 _/` 3
c)16
d) 8 _/`2

(_/` means sq root)

Answer 1

The answer to your problem is D. 8√2

Explanation:

Using the sine ratio in the right triangle

noting that sin45° =
`(1)/(sq root2)` = exact value of it

sin45° =
`(opposite)/(hypotenuse)` =
`(8)/(h)`

Multiply both sides by h, then

h x
`(1)/(x, sq root2)` = 8

Multiply both sides by, √2​

h = 8√2​ or D

Thus the answer to your problem is, D. 8√2​

Answer 2

Answer: D.
`8√(2)`

Explanation:

Because the angles are the same we know the legs are the same length and we can use the formula a squared plus b squared equals c squared, and we know both legs are 8, and 8 squared is 64 so a squared plus b squared is 128. So h=
`√(128)` and that is 11.313, and the only equation equal to that is D.