Trigonometry help finding the value of x

or 8.66

Step-by-step explanation:

use tan:

tan =

⇒ tan 60 =

tan of 60 is 1.73

⇒ 1.732 =

multiply 5 on both sides

⇒ 1.732 x 5 = x 5

⇒ 8.66

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

the answer to the expression is 83