Height = base * tan(angle)
X = 10 ft x tan(30)
X = 5.7735 feet
Rounded to the nearest hundredth = 5.77 feet.
Answer:
5.77 ft
Step-by-step explanation:
Because this is a trigonometry problem, I will assume that you know what a sine, cosine, and cosine is, along with the acronym soh cah toa. If this is not the case, please let me know and I can explain. The problem is dealing with two sides, 10 and x. 10 is adjacent to 30 degrees, and x is opposite from 30 degrees. Tan deals with this (remember soh cah toa) Now we have everything to set up a equation.
tan(30) = [tex]\frac{x}{10}[/tex]
Multiply both sides by 10 to get x by itself: 10tan(30) = x
x is approximately 5.77.
I hope this helped (sorry it took so long, I couldn't find my calculator)!
