Find car's acceleration based on a die's angle

[PhysicslyDumb]

Homework Statement

A fuzzy die hanging from a string of a car's rear view mirror is deflected 15 degrees from the vertical. what is the car's acceleration if the die's mass is 250g

Homework Equations

basic forces equations
trig

The Attempt at a Solution

attempt attached as a .png

 

[PeterO]

Homework Statement

A fuzzy die hanging from a string of a car's rear view mirror is deflected 15 degrees from the vertical. what is the car's acceleration if the die's mass is 250g

Homework Equations

basic forces equations
trig

The Attempt at a Solution

attempt attached as a .png

Homework Statement

Homework Equations

The Attempt at a Solution

You have an error in F_x ?

if that is a triangle with a 15^o angle, then the opposite side is not what you said - much smaller. The hypotenuse isn't that big either ?

Other than that, your reasoning is good.

EDIT: looks like you used 20^o

 

[PhysicslyDumb]

You have an error in F_x ?

if that is a triangle with a 15^o angle, then the opposite side is not what you said - much smaller. The hypotenuse isn't that big either ?

Other than that, your reasoning is good.

EDIT: looks like you used 20^o

ahh right, the calculations are wrong, but is the method right?