Question

How do I find x on the attached right triangle ?

Answer 1

The value of x from the given triangle is 32√3/3

SOH CAH TOA identity

In order to determine the value of x, first we need to determine the hypotenuse side of the smaller triangle.

sin 60 = 8√2/H

H = 8√2/sin60

H = 8√2 * 2/√3

H = 16√2/√3
H = 16√6/3

For the value of x, we will use the expression

sin45 = (16√6/3)/x

1/√2 = 16√6/3x
3x = 16√12
3x = 32√3

x = 32√3/3

Hence the value of x from the given triangle is 32√3/3

Learn more on SOH CAH TOA here: brainly.com/question/20734777

#SPJ1