Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ In triangle FGH, if [tex]\angle H = 90^\circ[/tex], [tex]\angle F = 15^\circ[/tex], and GH = 57 feet, what is the length of FG to the nearest tenth of a foot?

To find the length of FG in triangle FGH, we can use the trigonometric ratio of tangent. Applying this, we find that the length of FG is approximately 15.3 feet.

Explanation:

To find the length of FG in triangle FGH, we can use the trigonometric ratio of tangent. Since we know that ∠H is a right angle, we can use the tangent of ∠F to find the length of FG. The tangent of ∠F is equal to the opposite side (FG) divided by the adjacent side (GH). So we can set up the equation tan(∠F) = FG/GH and solve for FG. Plugging in the values we have, tan(15°) = FG/57. Using a calculator, we can find that tan(15°) ≈ 0.2679. Multiplying both sides of the equation by 57, we get FG ≈ 15.3 feet.

Learn more about Trigonometry here:

https://brainly.com/question/31896723

#SPJ11