find x round to the nearest tenth! please help!!! more trigonometry!

Answer:
Step-by-step explanation:
Look at the picture.
Use cosine:
[tex]cosine=\dfrac{adjacent}{hypotenuse}[/tex]
We have a measure of the angle and length of the hypotenuse:
[tex]\alpha=29^o,\ hypotenuse=500\ ft[/tex]
[tex]\cos29^o\approx0.87461[/tex]
Substitute:
[tex]\dfrac{y}{500}=0.87461[/tex] multiply both sides by 500
[tex]y=437.305\to y\approx437.3[/tex]