# Math Help - daughter have trouble finding value of x

1. ## daughter have trouble finding value of x

can someone please explain how to get the value of x.

trying to help my daughter with her homework.

2. Use: SOH CAH TOA to find out the correct trig ratio.

Spoiler:
$\tan(42) = \dfrac{3x+3}{4x}$

Note that $tan(42) \approx 1$ so you'd expect those two sides to be roughly equal

3. ## Thank you so much.

x = 5.

You are the best!

4. ## daughter have trouble finding value of x

Hi there,

tan 42 = 3x + 3/4x

4x tan 42 = 3x + 3

4x(0.9) = 3x + 3

3.6x = 3x + 3

3.6x - 3x = 3

0.6x = 3

x = 3/0.6

x = 5. Hope this helps.

Cromlix