# Math Help - trigonometry

1. ## trigonometry

Could some one please help me on the steps in order to solve this problem?

2. Originally Posted by robasc
Could some one please help me on the steps in order to solve this problem?

$\tan \theta = \frac{{\frac{1}
{2}\left( {d - y} \right)}}
{{x}}$

${\text{Use, }}\tan 3^\circ = \frac{{\frac{1}
{2}\left( {d - 3} \right)}}
{{18}}{\text{ to figure out }}d$

3. Well I came up with an answer of approximately 1.003cm

4. Originally Posted by robasc
Well I came up with an answer of approximately 1.003cm
No, the answer is 4.88668 cm $\approx 4.9$ cm, see here,

$18\times \tan 3^\circ = {\frac{1}
{2}\left( {d - 3} \right)}$

$2\times 18\times \tan 3^\circ =d-3$

d = 1.88668 +3
d = 4.88668 cm